Triangle Congruence — Test Answers

What is the missing reason in the proof? Statements Reasons 1. angle EGF is congruent to angle HGK 1. vert. angle cap s are is congruent to 2. line segment KH is parallel to line segment EF 2. given 3. angle cap f is congruent to angle cap k 3. alt. int. angle cap s are is congruent to 4. cap g is the midpoint of line segment KF 4. given 5. line segment FG is congruent to line segment KG 5. def. of midpt. 6. triangle FEG is congruent to triangle KHG 6. ? 7. line segment HG is congruent to line segment EG 7. CPCTC

Is triangle cap m cap n cap l is congruent to triangle cap q cap n cap l ? Why or why not?

Is there a series of rigid transformations that could map triangle QRS to triangle ABC ? If so, which transformations could be used?

The total number of degrees in the center is 360 degrees If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?

Which congruence theorem can be used to prove triangle WXS is congruent to triangle YZS ?

Quadrilateral LMNO is reflected over the line as shown, resulting in quadrilateral CDAB Given the congruency statement LMNO is congruent to CDAB , which segment corresponds to line segment ML ?

What is the missing reason in the proof?

What is true of triangle FGH ?

If AB is equal to 10 ft, AC is equal to 14 ft, and BC is equal to 20 ft, what is RS ?

What is the missing reason in the proof?

What expression represents the measure of angle cap x ?

How can a translation and a reflection be used to map triangle HJK to triangle LMN ?

Two rigid transformations are used to map triangle cap A cap b cap c to triangle cap q cap r cap s The first is a translation of vertex cap b to vertex cap r What is the second transformation?

Which pair of triangles can be proven congruent by SAS?

Three quadrilaterals exist such that GHJK is congruent to ASDF and GHJK is congruent to VBNM If line segment MV measures 3 cm, which other segment must measure 3 cm?

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?

Triangle JKL is isosceles. The measure of angle cap j is 72 degrees and the measure of angle cap k is 36 degrees Which statement describes angle cap l ?

In triangle XYZ , m angle cap x is equal to 90 degrees and m angle cap y is equal to 30 degrees In triangle TUV , m angle cap u is equal to 30 degrees and m angle cap v is equal to 60 degrees Which is true about the two triangles?

Which relationship in the diagram is true?

What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?