Directed Line Segments and Modeling — Cumulative exam Answers

Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

Given: HF || JK; HG ≅ JGProve: FHG ≅ KJG

Two parallel lines, e and f, are crossed by two transversals.

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).

Two similar triangles are shown.

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Which defines a line segment?

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?

Which points are vertices of the pre-image, rectangle ABCD? Select four options.

Square PQRS is transformed as shown on the graph.

A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.

Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.

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Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7.