Cumulative Exam — Cumulative exam Answers

Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?

3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from point H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees.

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

Which quadrilateral will always have 4-fold reflectional symmetry?

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?

Triangles R S T and V U T are connected at point T.

Rectangle ABCD was dilated to create rectangle A'B'C'D.

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Triangles K L P and Q M N are shown. Triangle Q M N is slightly higher than triangle K L P and side Q M connects to side K P. Point M is at the midpoint of K P. Sides K L and Q N are congruent. Angles K L P and Q N M are congruent. Angles K P L and Q M N are both right angles.

Which distance measures 5 units?

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options.

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).

Which statements about the diagram are true? Select three options.

Angle KLM and angle MLN are a linear pair.

Planes A and B intersect.

Horizontal and parallel lines M Q and U R are intersected by 2 diagonal lines N S and P T to form triangle E G F. Line N S intersects line M Q at point E and intersects line U R at point F. Line P T intersects line M Q at point E and intersects line U R at point G.

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has verticesR'(0, –2), S'(0, –4), and T'(–3, –1). Which rule describes the transformation?

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.