Solving for Angle Measures of Right Triangles — Cumulative exam Answers

Complete the steps, which describe how to find the area of the shaded portion of the circle.

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem.Which mathematical statement is missing?

Triangle A B C is shown. Angle A B C is a right angle. Angle B C A is 22 degrees and angle C A B is 68 degrees.

In the diagram, which angles form a linear pair? Select three options.

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).

Galina is finding the area of triangle RST. To do so, she follows the steps in the table.Step 1Draw a rectangle around triangle RST.Step 2Find the area of the rectangle.Step 3Find the area of the three right triangles created by the sides of the rectangle and the intersection with each vertex of the triangle.Step 4Subtract the area of the right triangles from the area of the rectangle.

Triangle MRN is created when an equilateral triangle is folded in half.

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that .

Square PQRS is transformed as shown on the graph.

Two parallel lines are crossed by a transversal.

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws.

A transformation of ΔDEF results in ΔD'E'F'.

The equation can be used to find the length of .

Given: g ∥ h and ∠2 ≅ ∠3Prove: e ∥ f Statements Reasons1.g || h1.given2.∠1 ≅ ∠22.corresponding angles theorm3.∠2 ≅ ∠33.given4.∠1 ≅ ∠34.transitive property5.e || f5.?What is the missing reason in the proof?

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).