Cumulative Exam Answers

In the diagram, the ratios of two pairs of corresponding sides are equal.

The proof that ΔABC ≅ ΔCDA is shown.Given: ∥ and ∥ Prove: ΔABC ≅ ΔCDA

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

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

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.

Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

Which figures are shown in the diagram? Select three options.

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).

What is the contrapositive of the statement?All squares are rectangles.

Which statements regarding are true? Select three options.

Pentagon ABCDE is dilated according to the ruleDO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

Triangle A C F is shown. Lines are drawn from each point to the opposite side and intersect at point D. Line segments A E, F B, and C G are formed. The length of line segment A D is 12 and the length of line segment D E is 4.

Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.HLSASSSSASAAAS

Triangle ABC has the angle measures shown.

Which is precisely defined using the undefined terms point and plane?

Given: a ∥ b and ∠1 ≅ ∠3Prove: e ∥ fWe know that angle 1 is congruent to angle 3 and that line a is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem.Which information is missing in the paragraph proof?

Which distance measures 5 units?

Which quadrilateral will always have 4-fold reflectional symmetry?

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.

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)?

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

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.

Triangles C B A and R Q P are shown. The length of C B is 10, the length of B A is 10, and the length of A C is 14. The length of R Q is y, the length of Q P is 6, and the length of P R is 28.

On a coordinate plane, a line goes through (0, negative 4) and (12, 6). A point is at (12, negative 2).

Point S lies between points R and T on .

Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.

Point Z is equidistant from the sides of ΔRST.

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

Which best explains why the orthocenter of an obtuse triangle is outside the triangle?

Let p: It is rainingLet q: Robert is laughing.Assume p is true. Select two statements that must logically be true.p ∨ qp ∧ qq → pp → qq ↔ p

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

What are the coordinates of the midpoint of EF if point E is located at (–12, 5) and point F is located at (7, –9)?

Triangle N L M is reflected over a line to form triangle A B C.

Planes A and B intersect.

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0).

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

The triangles are congruent by the SSS congruence theorem.

Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines d and p, the uppercase right angle is angle 3 and the bottom left angle is angle 4.

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

Consider the diagram.

The rule is applied to ΔBCD to produce ΔB"C"D". Point B" of the final image is at (–4, 1).

Question text not available

A right angle intersects a line at point M.

A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, 2), (2, 4), (2, 1). Triangle A prime B prime C prime has points (negative 2, 5), (negative 4, 2), (negative 1, 2). Triangle A double-prime B double-prime C double-prime has points (negative 2, negative 5), (negative 4, negative 2), (negative 1, negative 2).

Planes A and B are shown.

Line ST and point V are shown on the graph.

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.