Directed Line Segments and Modeling — Unit test Answers

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

is an altitude in triangle WXZ.

Which best explains why all equilateral triangles are similar?

The triangles are congruent by the SSS congruence theorem.

Which congruence theorem can be used to prove △WXS ≅ △YZS?

Triangle RST was dilated by a scale factor of . The image, triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units.

Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?

Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of R T is x.

Triangles D E F and G H J are congruent. Triangle D E F is shifted down and to the right to form triangle G H J.