Cumulative Exam — Cumulative exam Answers

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).

Assume lines c and d are parallel and 2 measures 98°. Which statements are true? Select three options.

congruencesymmetricreflexivetransitive

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?

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

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

Point S lies between points R and T on .

Figure RHOM is a rhombus. and are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: HOM, MHR, RHO, and OMR.

Line ST and point V are shown on the graph.

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

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

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

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)?

Point E is drawn on the graph so that line EF is parallel to line CD.

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.

Two parallel lines are crossed by a transversal.

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?

Angle KLM and angle MLN are a linear pair.

Point Z is equidistant from the sides of ΔRST.