Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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a right triangle has one angle that measures 29°. what is the measure o…
$61^\circ$
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2/2 rectangles, rhombus, squares practice day 6. if wxyz is a square wi…
a) $ZY=27$ b) $WY\approx38.2$ c) $RX\approx19.1$ d) $m\angle WRZ=90$ e) $m\angle XYZ=90$ f) $m\angle ZWY=45$
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2/2 rectangles, rhombus, squares practice day 5. if jklm is a rhombus, …
a) $NK = 15$ b) $JL = 26$ c) $KL \approx 19.8$ d) $m\angle JKM = 41^\circ$ e) $m\angle JML = 82^\circ$ f) $m\angle MLK = 98^\circ$ g) $m\angle MNL = 90^\circ$ h) $m\angle KJL = 49…
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a right triangle has one angle that measures 69°. what is the measure o…
$21^\circ$
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one angle of an isosceles triangle measures 94°. what measures are poss…
43°
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a right triangle has one angle that measures 5°. what is the measure of…
$85^\circ$
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a right triangle has one angle that measures 80°. what is the measure o…
$10^\circ$
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2/2 rectangles, rhombus, squares practice day 4. if pqrs is a rectangle…
a) $SQ = 24$ b) $PR = 24$ c) $m\angle QPR = 23^\circ$ d) $m\angle PSR = 90^\circ$ e) $m\angle SQR = 67^\circ$ f) $m\angle PTQ = 46^\circ$
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an isosceles triangle has an angle that measures 100°. what measures ar…
40°
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2/2 rectangles, rhombus, squares practice day 3. if abcd is a parallelo…
a) \(BC = 14\) b) \(AC = 22\) c) \(m\angle DAB = 116^\circ\) d) \(m\angle ABD = 25^\circ\) e) \(m\angle ACD = 71^\circ\) f) \(m\angle ADB = 39^\circ\)
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a right triangle has one angle that measures 20°. what is the measure o…
$70^\circ$
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one angle of an isosceles triangle measures 80°. what measures are poss…
- 50° - 20° - 80°
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proof: any point on the perpendicular bisector of a line segment is equ…
1. Midpoint (definition and theorem) blank: $\boldsymbol{\overline{AM} \cong \overline{BM}}$ 2. Perpendicular (definition) blank: $\boldsymbol{\angle AMP \cong \angle BMP}$ 3. Ref…
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one angle of a right triangle measures 5°. what is the measure of the o…
$85^\circ$
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the figure below shows concentric circles, both centered at o. - chord …
The students likely forgot that the perpendicular from the center to the chord bisects the chord, so they used the length of the segment from the point of tangency to one end of t…
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multiple choice 1 point aniah is riding her bike down the street. if th…
4500π feet (corresponding to the option "4500π feet")
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multiple choice 1 point a systems of equation is given: y = |x - 3| y =…
\(2\sqrt{5}\) (corresponding to the option with \(2\sqrt{5}\))
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perpendicular bisector theorem in a plane, if a point lies on the perpe…
equidistant
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pascal’s triangle is a triangle of numbers in which a row represents th…
\[ \boxed{(x + y)^7 = x^7 + 7x^6y + 21x^5y^2 + 35x^4y^3 + 35x^3y^4 + 21x^2y^5 + 7xy^6 + y^7} \]
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5. given xy = 15, wx = 22, zx = 32, wt = 10, ( mangle wzy = 62^circ ), …
To solve the problem, we assume the figure is a parallelogram (since opposite sides and angles are related in parallelograms, and the given lengths and angles suggest such a struc…
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iting a two-column proof given: $angle t cong angle v$; $overline{st} p…
2. If two parallel lines are cut by a transversal, alternate interior angles are congruent 4. Transitive Property of Congruence 5. If alternate interior angles are congruent, then…
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a rectangle is 8 feet long. its width is represented by \seven plus x f…
The expression representing the area of the rectangle is \( 8(7 + x) \) (or \( 8x + 56 \)) square feet.
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g angle relationships to justify parallel lines which lines are paralle…
Lines \( l \) and \( m \) are parallel because same side interior angles are supplementary.
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a rectangle is 8 feet long. its width is represented by \seven plus x f…
Assuming the correct option is the one that represents \( 8(7 + x) \) (for example, if option D is \( 8(7 + x) \) or similar), the answer would be the option with the expression \…
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writing proofs given: ( m parallel n ), ( angle 1 cong angle 3 ) prove:…
2. $\angle 1 \cong \angle 2$ 4. transitive property 5. converse alternate interior angles theorem
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writing proofs given: ( m parallel n ), ( angle 1 cong angle 3 ) prove:…
2. $\angle 1 \cong \angle 2$ 4. Transitive Property of Congruence 5. Corresponding Angles Converse Theorem
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what type of special right triangle is pictured below? solve for the mi…
What type of special right triangle is pictured below? 45-45-90 right triangle $x = 2\sqrt{3}$ $y = 2\sqrt{3}$
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ines with alternate exterior angles given: $\\angle 1 \\cong \\angle 2$…
$\angle 1 \cong \angle 2$; Given $\angle 1 \cong \angle 3$; Vertical Angles Congruence Theorem $\angle 2 \cong \angle 3$; Transitive Property of Congruence $p \parallel q$; Corres…
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proving lines are parallel lines ( l ), ( m ), and ( n ) lie in a plane…
Lines \(m\) and \(n\) are parallel. If two angles are supplementary to the same angle, then they are congruent; and if corresponding angles are congruent, then the lines cut by th…
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nelda is dividing \\(\\overline{ab}\\) into 6 congruent segments. she h…
C. Draw 5 new arcs from point D along $\overline{DB}$ the same distance apart as those on $\overline{AC}$.
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type the correct answer in each box. use numerals instead of words. if …
The coordinates of point O are $(-3.38, 1.64)$, and the coordinates of point M are $(-0.82, -2.2)$.
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type the correct answer in each box. use numerals instead of words. if …
The coordinates of point Q are $(-0.82, 3.56)$ and the coordinates of point M are $(-3.38, -2.2)$
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a right triangle with one leg labeled 12, the other leg labeled 8, and …
The length of the hypotenuse is approximately \(14.4\) (which matches the given value, and we verified it using the Pythagorean theorem for a right - triangle with legs 12 and 8)
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which diagram shows lines that must be parallel lines cut by a transver…
The second diagram (with two 91° angles, one formed by line m and the transversal, the other formed by line s and the transversal) which satisfies the corresponding angles postula…
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6. in the figure, $jk = 5x + 7$, $kl = 7x + 2$ and $jl = 45$. 6a find $…
\( KL = 23 \)
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6. in the figure, $jk = 5x + 7$, $kl = 7x + 2$ and $jl = 45$. 6a find x.
\( x = 3 \)
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5. consider the following figure. find qs. qs = 61 5b find pq. enter yo…
\( PQ = 24 \)
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write the coordinates of the vertices after a translation 1 unit left a…
\( Q'(0, - 7) \) \( R'(7, - 7) \) \( S'(1, - 9) \)
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5. consider the following figure. 5a find qs. qs =
61
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4. the angles in the diagram below are complementary. what is the value…
\( 51 \)
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write the coordinates of the vertices after a translation 1 unit down. …
\( K'(0, 5) \) \( L'(6, 5) \) \( M'(4, 0) \)
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3. are the angles in the diagram below supplementary? 121° 60° yes a no…
B. No
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use the drawing tool(s) to form the correct answer on the provided numb…
The line segment should have one endpoint at 1.6 and the other at 2.8, connected by a line segment. (Note: Since this is a drawing task, the final answer is the visual representat…
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the perimeter of a rectangle is 12 meters and the length is 2 meters lo…
Length of the rectangle = \( 4 \) m. Width of the rectangle = \( 2 \) m.
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question 2 of 5 select the correct answer from each drop - down menu. u…
The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^{2}+(y_2 - y_1)^{2}}\)
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select the correct answer. fernando is using the distance formula to fi…
He subtracted the wrong coordinates to find the distance of the vertical leg.
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question 1 of 5 select the correct answer. fernando is using the distan…
He subtracted the wrong coordinates to find the distance of the vertical leg.
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2. which of these diagrams shows a pair of supplementary angles? a b c d
B. Diagram B (the one with the vertical straight line and two angles forming a straight angle)
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1. choose whether the statement is sometimes, always, or never true. th…
B. Always
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7. consider the following argument. given: ( mangle abc = mangle def ) …
C. The transitive property of equality.
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(2) $ab = 5sqrt{3}$ $ac = 10$ $bc = 5$
- 30° row box: 5 - 60° row box: $5\sqrt{3}$ - 90° row box: 10
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part ii - 30-60-90 find missing sides and leave your answers in radical…
- For $30^\circ$ (side AC fill-in): 8 - For $60^\circ$ (side AB fill-in): 4sqrt3 - For $90^\circ$ (hypotenuse AC fill-in): 8
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4. is the following argument valid? - all squares are rhombuses. - all …
A. Valid.
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7 practice 7 (from unit 4, lesson 10) here is triangle abc. select all …
A. \( \arccos(\frac{28}{53}) \), D. \( \arcsin(\frac{45}{53}) \), F. \( \arctan(\frac{45}{28}) \)
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5 practice 5 (from unit 5, lesson 4) parallelogram ( abcd ) was obtaine…
\( 2 \) ### Part (b)
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practice 6 (from unit 5, lesson 3) select all solids whose cross sectio…
D. cone, E. triangular pyramid
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lines ( l ) and ( m ) are perpendicular ( m perp l ). a point ( q ) has…
(a): Two possible locations of \( Q \) are: - \( Q = P \) (the intersection point of \( l \) and \( m \)). - Any point on line \( l \) (e.g., a point to the right of \( P \) on \(…
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a triangle has an area of 6 square inches and a perimeter of 12 inches.…
To solve this, we analyze the relationships between scale factor, perimeter, and area of a dilated triangle: ### Key Relationships: - **Perimeter and Scale Factor**: Perimeter is …
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here are two polygons: select all sequences of translations, rotations,…
\(\boldsymbol{\text{Rotate } 180^\circ \text{ around point } A}\) (the checkbox next to this option should be selected).
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practice 2 a trapezoid has an area of 100 square units. what scale fact…
8 ### Part b:
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1. let $\\theta$ be the angle between vectors $\\mathbf{u}$ and $\\math…
$\frac{3}{5}$
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nosotros ______ tranquilos porque no tenemos exámenes. la tiza ______ c…
va 2. **¿Adónde ______ ustedes?** "Ustedes" is a third - person plural, so we use "van".
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what are the coordinates of point b after a reflection across the x - a…
\((-2, - 7)\)
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triangle def is rotated 90° counterclockwise about the origin. the resu…
(a) $D(-5, 3) \to D'(-3, -5)$ $E(-1, 1) \to E'(-1, -1)$ $F(-8, -4) \to F'(4, -8)$ (b) $\boldsymbol{(x, y) \to (-y, x)}$
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(a) the arrows below show that the coordinates on the left are mapped t…
(a) The filled coordinates are already correct: $R(-7, 5) \to R'(-1, -4)$ $S(-8, 8) \to S'(-2, -1)$ $T(-4, 4) \to T'(2, -5)$ (b) $\boldsymbol{(x, y) \to (x+6, y-9)}$
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triangle def is reflected across the x-axis. the result is $\\triangle …
(a) The completed mappings are: $D(-8,-4)\to D'(-8,4)$ $E(2,-3)\to E'(2,3)$ $F(-5,-7)\to F'(-5,7)$ (b) $\boldsymbol{(x,y)\to(x,-y)}$
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d c o a 6 cm b p area of triangle =?
$18$ cm²
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angle xyz is rotated 270° counterclockwise about the origin.\ e result …
## (a) $X(-5, -4) \to X'(-4, 5)$ $Y(2, -2) \to Y'(-2, -2)$ $Z(-3, -6) \to Z'(-6, 3)$ ## (b) $\boldsymbol{(x, y) \to (y, -x)}$
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the point a is shown below. reflect a across the x - axis. then reflect…
The final point is at $(4, 4)$ (plot this point on the coordinate grid at the intersection of x=4 and y=4)
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the point a is shown below. reflect a across the y - axis. then reflect…
The final point is at coordinates $\boldsymbol{(1, 7)}$ (plot this point on the grid at x=1, y=7)
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solve the inequality and graph the solution on the line provided. -2x -…
Inequality Notation: \( x \leq 8 \) For the number line: Place a closed circle at 8 (since the inequality is "less than or equal to") and draw a line to the left of 8 to represent…
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: $(3, -2)$ Point in final figure: $(-4, 2)$
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3 the volume of the cylinder is 27π cubic units. write the volume of th…
# Explanation: ## Step1: Recall volume formulas The volume of a cylinder is \( V_{cylinder} = \pi r^2 h \), the volume of a cone with the same radius \( r \) and height \( h \) as…
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: $(-8, 1)$ Point in final figure: $(0, -5)$
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find the volume of this rectangular pyramid. be sure to include the cor…
$30\ \text{cubic meters}$ or $30\ \text{m}^3$
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the endpoints of (overline{pq}) are (p(-4,6)) and (q(3,-7)). find the e…
\((-4,-1)\)
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the endpoints of \\(\\overline{pq}\\) are \\(p(-4,6)\\) and \\(q(3,-7)\…
\(P''\) at \((-11, 12)\)
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activity 1 hemispheres 2 what if we pour both a cone and a hemisphere i…
The sum of the volume of the cone and the hemisphere equals the volume of the cylinder (when they have the same radius and the cylinder’s height equals its radius). So pouring bot…
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warm-up 1 a cone and a cylinder have the same height and radius. what f…
The cone fills \(\frac{1}{3}\) of the cylinder.
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: $(-1, -7)$ Point in final figure: $(4, 0)$
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1. find two integer values of c such that \\(\\langle c^2, -7, c + 3\ a…
The two integer values are $c=2$ and $c=3$.
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the figure below has a point marked with a large dot. first, reflect th…
Point in original figure: $(-4, 2)$ Point in final figure: $(4, 2)$
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a recipe requires \\(\\frac{3}{4}\\) cup of butter. if you make half th…
$\frac{3}{8}$ cup ### Problem 21 (Area of Rectangle)
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which number line shows the fraction \\(\\frac{2}{5}\\)?
The third number line (the one with 0 and 1 as endpoints, and the dot at the position representing $\frac{2}{5}$)
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find the distance between the points a and b given below. (that is, fin…
7.21 units
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find the distance between the points a and b given below. (that is, fin…
6.40 units
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(that is, find the length of the segment connecting a and b.) round you…
6.40 units
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based on the characteristics described above, decide whether each state…
Likely part of the middle class (select the circle under "Likely part of the middle class" for this statement) ### 2. Statement: "I work as a lawyer, while my wife stays home to c…
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8. \\begin{cases} x = -2 \\\\ 3x - 2y = -18 \\end{cases} solution:
The solution of the system of equations is \( x=-2,y = 6 \), or in ordered - pair form \( (-2,6) \)
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vertical angles - two angles formed by intersecting lines. vertical ang…
① $w=80^\circ$, $x=100^\circ$, $y=100^\circ$, $z=80^\circ$ ② $w=43^\circ$, $x=137^\circ$, $y=137^\circ$, $z=43^\circ$ ③ $w=35^\circ$, $x=55^\circ$, $y=55^\circ$, $z=90^\circ$ ④ $w…
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solve the inequality and graph the solution. 4z + 9 > 1 plot the endpoi…
The solution to the inequality \( 4z + 9 > 1 \) is \( z > -2 \). For the graph, we use an open circle at \( -2 \) (since the inequality is strict, \( > \), not \( \geq \)) and dra…
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w=\\underline{\\quad}\ x=\\underline{\\quad}\ y=\\underline{\\quad}\ z=…
$w=47^\circ$, $x=43^\circ$, $y=47^\circ$, $z=137^\circ$
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measurement in each set of complementary angles. 2 ) angle = ______ 3 )…
\(37^\circ\) ### Problem 3:
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find the missing angl 1 ) angle = ______
\( 60^\circ \)
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solve the following system of equations graphically on the set of axes …
The solution is $(5, -7)$ (the point where the two lines intersect when graphed).
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solve the inequality and graph the solution. -4v - 1 ≥ 7 plot the endpo…
The solution to the inequality \(-4v - 1\geq7\) is \(v\leq - 2\). To graph this, we plot a closed circle at \(-2\) (since the inequality is "less than or equal to") and draw a ray…
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16. what is the volume of a cylinder with a diameter of 6 and a height …
c. $90\pi$
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5 w=____ x=____ y=____ z=____ 6 w=____ x=____ y=____ z=____ complementa…
$w=150$, $x=30$, $y=30$, $z=150$ --- ### For Problem ⑥
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name: monday underline the verbs. in stories and movies, pirates keep p…
Underline: keep, bury, say ### 2. What does dishonorable mean?
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skills practice #22: congruent triangles proofs - sss and sas direction…
1. Congruent by SSS; $\triangle QTF \cong \triangle EPC$ 2. Congruent by SSS; $\triangle ABC \cong \triangle CDA$ 3. Congruent by SAS; $\triangle JMK \cong \triangle LKM$ 4. Congr…