Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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practice example 1 find the measure of each angle. 1. find ( mangle abc…
\( 113^\circ \) ### 2. If \( m\angle EBC = 55^\circ \) and \( m\angle EBD = 20^\circ \), find \( m\angle 2 \).
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using the diagram below, solve for the value of x. round your answer to…
\( \boxed{50} \)
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solve the inequality and graph the solution. 2 + 5t > -3 plot the endpo…
$x > -1$ (Graph: Open circle at $x=-1$, shaded ray to the right)
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solve the inequality and graph the solution. 8 - 3t < 2 plot the endpoi…
$t > 2$ (Graph: Open circle at 2, arrow pointing right)
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which is a subset of the set of rectangles? the set of rhombuses the se…
the set of squares
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solve the inequality and graph the solution. 2f - 10 > -2 plot the endp…
The solution to the inequality \( 2f - 10 > -2 \) is \( f > 4 \). To graph this, we draw an open circle at \( 4 \) on the number line (since the inequality is strict, \( 4 \) is n…
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which statement is always true about a parallelogram? diagonals bisect …
A. Diagonals bisect each other.
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solve the inequality and graph the solution. 1 + 3w ≥ 7 plot the endpoi…
The solution to the inequality \( 1 + 3w \geq 7 \) is \( w \geq 2 \). To graph this, we plot a closed circle at \( 2 \) (since the inequality is "greater than or equal to") and dr…
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which statement is always true? a trapezoid is a parallelogram. a rhomb…
C. A rectangle is a parallelogram.
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which statement is not always true about a parallelogram? the opposite …
The diagonals are congruent.
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solve the inequality and graph the solution. 8 + 5c < -10. use the endp…
The solution to the inequality \( 8 + 5c < -10 \) is \( c < -3.6 \) (or \( c < \frac{-18}{5} \)). To graph this, we draw an open circle at \( -3.6 \) on the number line and shade …
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which of the following is true for all parallelograms? opposite angles …
Opposite angles are congruent.
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how many pairs of opposite sides are parallel? no pairs 1 pair 2 pairs
B. 1 pair
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the diagonals of a quadrilateral are congruent but do not bisect each o…
an isosceles trapezoid
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the venn diagram below represents the relationship between trapezoids, …
B. Every rhombus is a square
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a quadrilateral with four congruent sides and an angle measuring $60^{c…
B. rhombus
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9. point a and line bc are shown in the cartesian plane below. the shor…
$6\sqrt{5}$ (약 13.42) --- ### 문제 10
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in which quadrilateral are the diagonals always congruent? rectangle rh…
A. rectangle
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which quadrilateral is equiangular but not always equilateral? parallel…
D. rectangle
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solve the inequality and graph the solution. 7 - b < 9 plot the endpoin…
The solution to the inequality \( 7 - b < 9 \) is \( b > -2 \). To graph this, we draw an open circle at \( -2 \) (since the inequality is strict, \( b eq -2 \)) and shade the l…
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which congruency theorem is described below? \in two triangles, if two …
C. SAS
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the width of a rectangle is 6x - 7.5 feet and the length is 7.5x + 8 fe…
The perimeter of the rectangle is \( 27x + 1 \) feet.
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an isosceles triangle with base 10cm has an area of 60cm². find its per…
36 cm (corresponding to the option with 36 cm)
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solve for x to make a||b. (9x + 24)° (3x)° x =?
\(x = 13\)
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the perpendicular bisectors of the sides of a triangle meet at a point …
B. circumcenter
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an equilateral triangle has side lengths that measure x + 2 inches. the…
$3(x + 2) = 19.8$
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for the given diagram which of the following is true? options: - $\\tri…
D. \( \triangle ABC \cong \triangle ADC \) by ASA and \( AC = AC \)
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8. the circumference of a penny is about 59.817 millimeters. what is th…
The diameter of the penny is approximately 19.04 millimeters.
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design an art class is making a mural for their school which has a tria…
\(3x + 12\)
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if the lengths of two sides of a triangle are 7 and 10, the length of t…
4
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7. the circumference of a circle is 37.68 inches. calculate the diamete…
12 inches
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15. kyle and his father are planning to repaint one wall in kyle’s bedr…
A. \(10\times10 + 10\times8\) ### Part b:
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6. if the circumference of a circle is 106.76 meters, what is the radiu…
17 meters
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in the figure, identify the segment which has been bisected. options: $…
\(\overline{AC}\)
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4. hosea used a compass to draw a circle. he measured the distance all …
About 12.56 inches
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if two sides of a triangle have lengths 4 and 9, then the length of the…
greater than 5 but less than 13
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pierce is making a rectangular frame for a photo collage that has a per…
$78.6 = 2(20.8 + x)$
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3. a circular pool has a radius of 7.5 feet. calculate the length of tr…
The length of trim needed is approximately 47.12 feet (or exactly $15\pi$ feet).
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13. ema cut three rectangles from wood for a birdhouse. how do their ar…
The areas of Rectangle A, Rectangle B, and Rectangle C are equal (each is 16 square feet) because when we calculate the area of each rectangle using the formula \( \text{Area} = \…
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if the lengths of two sides of a triangle are 2 and 5, the length of th…
6
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solve for x to make a||b. a (6x + 14)° 56° b x =?
\(x = \frac{55}{3}\) or \(x \approx 18.33\)
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13. when constructing a line segment congruent to \\( \\overline{ab} \\…
13. C. Draw an arc with the compass point on $B$. 14. A. $A(-5,-5), B(3,-9), C(-11,-7)$ (assumed typo correction) 15. B. $B'(2,1)$ 16. B. $C'(1,2)$ 17. D. $A'(4,-4)$ 18. A. $B'(-2…
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part 2: answer the following word problems. use 3.14 for π. 1. the radi…
73.5 meters
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regular polygons have congruent sides and congruent angles. the regular…
$6y - 5$
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find x. 80° 30° x 80° 110° 50° 120°
\(110^{\circ}\) (corresponding to the option with \(110^{\circ}\))
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the asa congruency axiom states that two triangles are congruent if: tw…
A. two angles and the contained side of one triangle are equal to two angles and the contained angle of the other triangle.
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test prep 8. two chefs are working on cylindrical cakes. david wants to…
8. David made a cut parallel to the cylinder's vertical axis (to get a rectangle), while Terri made a cut parallel to the cylinder's circular base (to get a circle). 9. Rectangle …
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in triangle ( abc ), the measure of angle ( a ) is ( 40.5^circ ) and th…
\(55.8^\circ\) (the option with \(55.8^\circ\))
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triangles efg and qrs are similar. the lengths of the sides of efg are …
B. 180
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all of the figures shown are scalene triangles. which of the following …
C. no equal sides (assuming the options are labeled with letters, e.g., if "no equal sides" is option C, then the answer would be C. no equal sides; adjust the label based on the …
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in the diagram, ( ad = cd = cb ) and ( mangle a = 40^circ ). how many d…
20
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write the ratio of the first measurement to the second measurement. 9. …
The ratio is $\frac{14}{5}$ (or 14 : 5)
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identify the hypotenuse of $\\triangle wxy$. $\\overline{xy}$ $\\overli…
\(\overline{XY}\)
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y = -2x - 2 y = x + 1 plot two lines by clicking the graph. click a lin…
The two lines are plotted with intersection at \( (-1, 0) \) (if solving the system) or the graphical lines as per the steps above.
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use the picture to the right to answer questions 8 – 10. 8. what is the…
8. A. 40 units 9. C. 95 units² --- ### Question 10
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which sequence of transformations can only be used to prove similarity …
C. rotated, then dilated
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25.) δabc has the coordinates a(-2,3), b(3,1), and c(5,4). what are the…
\(A' = (2, 3)\), \(B' = (-3, 1)\), \(C' = (-5, 4)\)
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solve the inequality and graph the solution. 7 - b < 9 plot the endpoin…
The solution to the inequality \( 7 - b < 9 \) is \( b > -2 \). To graph this, we draw an open circle at \( -2 \) (since the inequality is strict, \( b eq -2 \)) and draw a ray …
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which of the following best represents \\(\\vec{a} + \\vec{b} = \\vec{c…
The second diagram (where \(\vec{A}\) is downward, \(\vec{B}\) is rightward from \(\vec{A}\)’s head, and \(\vec{C}\) connects \(\vec{A}\)’s tail to \(\vec{B}\)’s head).
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shanelle and leon were asked to use their protractors to measure the pa…
base angles are congruent
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solve the inequality and graph the solution. 2z + 2 < 10 plot the endpo…
The solution to the inequality \( 2z + 2 < 10 \) is \( z < 4 \). To graph this, we draw an open circle at \( z = 4 \) (since the inequality is strict, \( z \) cannot equal 4) and …
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\\begin{cases} y = \\frac{6}{5}x + 3 \\ y = -\\frac{1}{5}x - 4 \\end{ca…
The solution to the system of equations is \( x = - 5 \) and \( y = - 3 \), or the ordered pair \( (-5, -3) \).
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given $\\triangle abc$ with $ab = ac$. use deductive reasoning to compl…
\( m\angle A = 100^\circ \) (the option corresponding to this is the one with \( m\angle A = 100^\circ \))
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which rule explains why these triangles are congruent? sas aas asa sss …
AAS
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choose all that correctly describe a property of a similarity transform…
A. Corresponding angles are congruent for a similarity transformation. C. The scale factor for a similarity transformation is the product of the scale factors. D. Each point P' in…
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these figures are congruent. what is ( mangle g )?
$42$
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write the coordinates of the vertices after a reflection over the x - a…
The coordinates after reflection over the x - axis are \( E'(1, 3) \), \( F'(2, 3) \), \( G'(2, 7) \)
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11-4 quick check (2 digit divisor) a company is developing packaging fo…
B. $(2 \times 4 \times 3)+(2 \times 4 \times 9)$ E. $(3 \times 4 \times 4)+(6 \times 4 \times 2)$
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which triangle defined by the given points on the coordinate plane is s…
D. \((-1, 1)\), \((-1, 5)\), \((-7, 1)\)
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which rule explains why these triangles are congruent? aas asa sas sss …
SSS (along with the option description: The rule that explains why these triangles are congruent is SSS, so the answer is the option labeled "SSS")
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consider that \\(\\triangle abc\\) is similar to \\(\\triangle xyz\\) a…
B. \( 68^\circ \)
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can you conclude that these triangles are congruent? u v w s t q yes no
no
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for which of the following conjectures can a counterexample be found? a…
medians and altitudes intersect in a common point
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question image what is the solution?
The solution (intersection point) is \((1, - 1)\)
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5. calculate the area of the circle shown in the cartesian plane below.…
$10\pi$ --- ### 문제 6
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consider the statement: \in a triangle, the measure of an exterior angl…
D. Right triangle (assuming the options are labeled as A. Acute triangle, B. Altitude of a triangle, C. Equilateral triangle, D. Right triangle)
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4 mi. 1 mi. b what is the length of the missing leg? if necessary, roun…
\(3.9\)
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is this a polygon? yes no submit work it out not feeling ready yet? the…
yes
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is this shape a regular polygon? yes no submit work it out not feeling …
no
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is this shape a regular polygon? (the image shows a quadrilateral with …
yes
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three people are sitting on a bus. maggie is directly behind rudy and d…
\( \boxed{1.0} \)
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what kind of polygon is this? convex concave
concave
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what is the length of the hypotenuse? if necessary, round to the neares…
\( 8.8 \)
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is this shape a regular polygon? yes no submit work it out not feeling …
yes
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is this shape a regular polygon? yes no submit work it out not feeling …
no
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is this a polygon? yes no submit work it out not feeling ready yet? the…
yes
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kenneth takes a 7.1-inch by 3.8-inch sheet of paper and cuts from one c…
\( 19.0 \)
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is this a polygon? yes no submit work it out not feeling ready yet? the…
no
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is this shape a regular polygon? yes no submit work it out not feeling …
no
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1. the following are the equations of two perpendicular lines: y = ax +…
1. d. $c=-\frac{1}{a}$ 2. a. $3x - 2y = 0$ 3. b. $(-4, 6)$ 4. $(4, 3)$
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question given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 11 \), \( y = 58 \)
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tony is building a pool shed shaped like a rectangular prism. it will b…
A. Since $378=63 \times w$, the width is 6 feet.
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which diagram is a net for this prism? what is the surface area of the …
# Explanation: ## Step1: Recall the formula for the surface area of a triangular prism The surface area \( SA \) of a triangular prism is given by the formula: \( SA = 2B + Ph \),…
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question image (a coordinate grid with two lines, one red and one blue,…
The intersection point of the two lines is \( (-4, -8) \)
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question image (a coordinate grid with two red lines plotted)
The two lines have a slope of \(\boldsymbol{-2}\) and are parallel.
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problem #6: below the perimeter of the rectangle is equal to the perime…
The perimeter of both figures is \(\boldsymbol{46}\).
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find the missing measurement. round your answer to the nearest tenth. ?…
2.2 ft
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problem #5: if 4 times a number is increased by 18, the result is 10 le…
The number is 14. ### Problem #6
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1. let ( p ) be a point on the terminal side of ( \theta ). draw a pict…
### a. $\sin\theta=\frac{3}{5}$, $\cos\theta=\frac{4}{5}$, $\tan\theta=\frac{3}{4}$, $\csc\theta=\frac{5}{3}$, $\sec\theta=\frac{5}{4}$, $\cot\theta=\frac{4}{3}$ ### b. $\sin\thet…
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question image (a coordinate grid with two red lines, one with a steepe…
The intersection point of the two lines is \((4, 3)\)