Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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for parts a and b, let abcd be a square with diagonals ac and bd inters…
a. A. F is the midpoint of $\overline{BD}$ and $\overline{AC}$ b. A. $\angle BFA = 90^{\circ}$, $\angle AFD = 90^{\circ}$
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for parts a and b, let abcd be a square with diagonals ac and bd inters…
A. F is the midpoint of BD and AC
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5. describe the error in finding m∠1. x m∠1 + 80° + 50° = 180° m∠1 + 13…
The error is using the interior - angle sum formula of a triangle (\(180^{\circ}\) for the sum of interior angles) for an exterior angle. The correct formula for an exterior angle…
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for parts a and b construct the given triangle and choose the best resp…
a. B. \(m(\angle A)>m(\angle B)\) b. The side of greater length is opposite the angle of greater measure
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4. order the sides of the triangle from greatest to least. 118° 28°
$\overline{HJ},\overline{KJ},\overline{HK}$
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for parts a and b construct the given triangle and choose the best resp…
B. \(m(\angle A)>m(\angle B)\)
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station 1: equivalent equations (lesson 6 review) learning target: i un…
1. a. Son equivalentes. b. Son equivalentes. c. No son equivalentes. 2. d. $\frac{3x + 4}{2}=5 - 4x$, e. $3x + 4 = 10 - 8x$ y cualquier otra que sea una transformación válida de l…
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given the two triangles below. are they necessarily congruent? explain …
C. No, AAA is not sufficient for congruence. One triangle might be larger than the other
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3. using the picture, find the following: m∠a = select m∠b = 90°
\(m\angle A = 26^{\circ}\)
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the pythagorean theorem find the length of the leg x of the right trian…
15 cm
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if marquise uses the 3 - foot and 8 - foot length beams, what is the ra…
The range of the length of the third beam to form a triangle is \(5\lt c\lt11\) feet.
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use the graph and the translation (x,y)→(x + 5,y + 4) to answer parts a…
\(A\to A'(3,9)\) \(B\to B'(6,7)\) \(C\to C'(4,1)\)
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find the measures of the missing angles. m∠1 = select m∠2 = select m∠3 …
$m\angle1 = 62.5^{\circ}$ $m\angle2 = 62.5^{\circ}$ $m\angle3 = 55^{\circ}$ $m\angle4 = 75^{\circ}$ $m\angle5 = 50^{\circ}$
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a. name two congruent triangles in the accompanying figure by writing a…
a. $\triangle QRT\cong\triangle STR$ b. SSS (Side - Side - Side) congruence criterion.
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if m∠8 = 32° select all other angles that are also 32°
$\angle1, \angle6$
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which statement correctly defines the converse of the pythagorean theor…
1. C. If \(a^{2}+b^{2}=c^{2}\), then the triangle is a right triangle. 2. C. By solving problems involving distances and angles.
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volume of a sphere the volume of a sphere with radius r is given by the…
$3052.1$
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question 2 10 pts any two lines perpendicular to the same line are para…
Question 2: A. True Question 3: B. False
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in a right - triangle with sides $a = 3$, $b = 4$, what is the length o…
a. 5 d. The triangle is obtuse
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find the perimeter of △abc with the given points a(4, -2), b(5, 5), and…
$20.5$
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unit 1 test review 1. for each diagram, list all angles of rotational s…
1. (a) \(60^{\circ},120^{\circ},180^{\circ},240^{\circ},300^{\circ}\); (b) None; (c) \(180^{\circ}\); (d) \(120^{\circ},240^{\circ}\); (e) \(180^{\circ}\) 2. a. A; b. \(\overline{…
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if (a^{2}+b^{2}>c^{2}), what type of triangle is formed? a. acute trian…
a. Acute triangle b. 169
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15. what is the sum of the measures of two same - side interior angles?…
A. 180 degrees
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14. if ∠5 = 4x + 20 and ∠6 = 2x + 40 are alternate exterior angles, wha…
A. 10
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a. name two congruent triangles in the accompanying figure by writing a…
$\triangle QRT\cong\triangle RTS$
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which angle measure is always found in a right triangle? a. 120 degrees…
1. B. 90 degrees 2. B. Right triangle
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13. if ∠2 = 7x - 25 and ∠4 = 5x + 5 are corresponding angles, what is x…
d. 15
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if δcat ≅ δdog, determine which of parts (a) through (c), if any, are n…
a. A. Yes. Since the triangles are congruent and $\overline{CT}$ corresponds to $\overline{DG}$, $\overline{CT}\cong\overline{DG}$ b. B. No. $\angle A$ and $\angle D$ are not corr…
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13. if ∠2 = 7x - 25 and ∠4 = 5x + 5 are corresponding angles, what is x…
d. 15
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if $\triangle catcong\triangle dog$, determine which of parts (a) throu…
a. A. Yes. Since the triangles are congruent and $\overline{CT}$ corresponds to $\overline{DG}$, $\overline{CT}\cong\overline{DG}$ b. A. Yes. Since the triangles are congruent and…
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if △cat ≅ △dog, determine which of parts (a) through (c), if any, are n…
A. Yes. Since the triangles are congruent and \(\overline{CT}\) corresponds to \(\overline{DG}\), \(\overline{CT}\cong\overline{DG}\)
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sphere volume of sphere = $\frac{4}{3}pi r^{3}$ volume of cylinder = $p…
In degrees: 90°, In revolutions: $\frac{1}{4}$ revolutions, In turns: $\frac{1}{4}$ turns ### 2.
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how can you verify the converse of the pythagorean theorem using geogeb…
1. d. By calculating numerical values 2. a. Right triangle
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12. what type of triangle is formed if the sides are a = 9, b = 12, and…
d. Right triangle
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11. which tool is commonly used to measure angles in geometry? a. calcu…
d. Protractor
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dissect the midpoint formula into two parts 1. find the x - value of th…
$(4,-1)$
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10. which angles are congruent when two parallel lines are intersected …
C. Alternate interior angles
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9. which of the following pairs of angles are equal when two parallel l…
C. Alternate interior angles
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8. what type of triangle has sides a = 8, b = 15, and c = 17? a. right …
A. Right triangle
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2. in segment rm, find the coordinates of the missing endpoint r if m(3…
$(1,-5)$
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look at ∠uvz and ∠wvz in the image below. which of the following is the…
acute
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6. if ∠5 = 5z - 20 and ∠8 = 3z + 10 are alternate exterior angles, solv…
A. 25
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find the measure of ∠yvz. 52° 43° 38° o 47° o 27° o 38° o 57°
38°
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5. corresponding angles are: a. never equal b. sometimes equal c. alway…
B. Sometimes equal
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which statement is true? ○ $overleftrightarrow{uv} perp overleftrightar…
$\overleftrightarrow{UV}\perp\overleftrightarrow{AB}$ and $\overleftrightarrow{UV}\parallel\overleftrightarrow{ZY}$ (corresponding to the last option)
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4. if ∠1 = 6x + 10 and ∠5 = 130° are corresponding angles, what is the …
A. 20
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1. in segment ab, find the coordinates of the missing endpoint a if m(2…
El punto A es $(0,-7)$
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3. why is the converse of the pythagorean theorem important? a. to calc…
b. To determine whether a triangle is a right triangle
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the following figure is a rectangle made up of two smaller rectangles. …
(a) The dark rectangle: $9x$; The light rectangle: $45$ (b) As a sum of two areas: $9x + 45$ As a product of the length and width: $9(x + 5)$
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2. if a = 7, b = 24, and c = 25, is the triangle a right triangle? a. n…
C. Yes, because $a^{2}+b^{2}=c^{2}$
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1. which type of triangle satisfies the condition (a^{2}+b^{2}=c^{2})? …
c. Right triangle
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1. given: o is the mid - point of mn, om = ow. prove: ow = on. 2. given…
The proof is completed as above. 2.
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select a pair of vertical angles. * a and b b and c a and c
a and c
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select a pair of supplementary angles.* a and b b and c a and c
a and b
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select a pair of complementary angles. a and b b and c a and c
a and c
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question 1 choose the term that best describes the pair of angles. <10 …
∠9 and ∠4 are corresponding angles. ∠10 and ∠5 are alternate exterior angles. ∠7 and ∠1 are same - side interior angles. ∠8 and ∠9 are adjacent angles.
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q1 - accelerated mathematics gr 8 | guided notes: transversals and para…
1. Same - side interior angles 2. Supplementary angles 3. Expression 4. Geometric relationships
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what does geogebra primarily help visualize in relation to the pythagor…
1. c. Geometric relationships 2. d. To determine whether a triangle is a right triangle
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what is the pythagorean theorem? a. a + b = c b. a² + b² = c² c. a² - b…
1. b. $a^{2}+b^{2}=c^{2}$ 2. a. Right triangle
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if (a^{2}+b^{2}>c^{2}), what type of triangle is formed? a. isosceles t…
1. d. Acute triangle 2. a. If a triangle is a right triangle, then $a^{2}+b^{2}=c^{2}$.
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q1 - accelerated mathematics gr 8 | lesson: interpreting pythagorean th…
1. b. The triangle is obtuse 2. a. 169
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q1 - accelerated mathematics gr 8 | lesson: interpreting pythagorean th…
1. b. Right triangle 2. b. Yes, because $a^{2}+b^{2}=c^{2}$
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ii. intercepts of a graph an x - intercept is written as the ordered pa…
1. An \(x\)-intercept is written as the ordered pair \((x,0)\), and a \(y\)-intercept is written as the ordered pair \((0,y)\). 2. A graph is symmetric with respect to the \(y\)-a…
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you are listening to a podcast about fashion, and hear the hosts compla…
see-through material
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chapter 1 equations, inequalities, and mathematical modeling section 1.…
| \(x\) | \(-4\) | \(-2\) | \(0\) | \(2\) | \(4\) | | ---- | ---- | ---- | ---- | ---- | ---- | | \(y\) | \(5\) | \(4\) | \(3\) | \(2\) | \(1\) |
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lines in a plane that never meet and are always the same distance apart…
1. Parallel lines 2. Transversal 3. Corresponding angles 4. Alternate - interior angles 5. Alternate - exterior angles
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quiz 2.4 2.5 score _/60 algebraic solution & sketch the solution on the…
The solution of the inequality is $x\geq\frac{48}{7}$. On the number - line, draw a closed circle at $\frac{48}{7}\approx6.86$ and shade to the right.
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2. which type of reasoning is being used? a) every square is a rectangl…
a) Deductive reasoning b) Inductive reasoning
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in δqrs, what side is opposite ∠srq? rs pq sq rq
SQ
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in △pqr, what side is adjacent to ∠p? rq pq ps pr
PR
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rotation, then reflection translation, then reflection rotation, then t…
rotation, then translation
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consecutive interior angles add up to: a. 360 degrees b. 90 degrees c. …
1. d. 180 degrees 2. c. 33
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in δprs, what side is adjacent to ∠prs? pr ps sq rs
PR, RS
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in △pqr, what side is opposite ∠q? pr qr sq rs
PR
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if ∠3 = 6y - 10 and ∠6 = 4y + 20 are alternate interior angles, find th…
a. 65 degrees
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what is the hypotenuse of △sqr? rs pr pq qr
QR
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what is the side adjacent to ∠a? bc ∠c ac ab
C. AC
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a rectangle has a length of x - 2 units and a width of y + 5 units. a t…
$x = \sqrt{2}$
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in δqrs, what side is opposite ∠q? rs sq qr pr
A. RS
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what is the measure of ∠4 if ∠4 = 4a + 30 and a = 15? a. 85 degrees b. …
1. b. 90 degrees 2. b. 15
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what is the hypotenuse of δprs? sq pr rs ps
B. PR
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is δprs a right triangle? yes zombies no way to tell no
A. Yes
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if ∠3 = 5y + 15 and ∠6 = 3y + 45 are alternate interior angles, what is…
1. d. 15 2. d. Consecutive interior angles
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what is the hypotenuse of △sqr? rs pr qr pq
PQ
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what is the hypotenuse of △pqr? pq pr rs qr
PQ
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what is the side opposite ∠a? ab ac bc ∠b
BC
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7. if bd = 7x - 10, bc = 4x - 29, and cd = 5x - 9, find each value. bd …
$x = 14$ $BC = 27$ $CD = 61$ $BD = 88$
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what must be the sum of ∠a and ∠b
A. $90^{\circ}$
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a triangle has a base of 2^3 units and a height of 2^4 units. what is t…
$2^{6}$ square units
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a triangle has a base of 2^3 units and a height of 2^4 units. what is t…
$2^{6}$
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which side is adjacent to ∠b?
BC
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show that each statement is false by providing a counterexample. (a) if…
(a) \(m\angle1 = 45^{\circ}\), \(m\angle2 = 45^{\circ}\) (b) \(m\angle R = 60^{\circ}\), \(m\angle S = 60^{\circ}\), \(m\angle T = 60^{\circ}\) (c) \(m\angle WXY = 20^{\circ}\), \…
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16. carrie is packing her clothes in moving boxes that are in the shape…
for Question 16: No.
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when a transversal intersects two parallel lines, how many angles are f…
1. d. 8 2. d. 85 degrees
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what is the hypotenuse of the triangle shown? ab bc ac ∠a
A. AB
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a circle has a radius of 5^4 units. what is the area of the circle? wri…
$\pi\times5^{8}$
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application (a) on the grid, draw △abc with vertices a(1,1), b(3, - 4),…
L'équation de la bissectrice perpendiculaire de AC (après avoir effectué les calculs précédents avec les coordonnées exactes de A et C sur le graphique).
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9. if $overline{lk}congoverline{mk}$, $lk = 7x - 10$, $kn=x + 3$, $mn=9…
10. \(x = 3\) 11. \(FG = 15\) 12. \(QS = 34\) 13. \(BC = 26\) 14. \(EG = 19\) 15. \(QS = 68\)
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10. what are the coordinates of z? (-r, 0) (0, r) (0, -t) (t, 0)
$(0, - t)$
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9. what are the coordinates of p? kite (-b,0) (0,-b) (0,b) (-a,0)
(-b, 0)