Triangle Congruence — Test Answers

Which transformation(s) can map triangle BCD onto triangle WXY ?

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?

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?

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 ?

Which relationship in the diagram is true?

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

Could triangle JKL be congruent to triangle XYZ ? Explain.

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

In the diagram, angle cap j is congruent to angle cap m and line segment JL is congruent to line segment MR What additional information is needed to show triangle JKL is congruent to triangle MNR by SAS?

Which congruence theorem can be used to prove triangle ABC is congruent to triangle DEC ?

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

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?

Which pair of triangles can be proven congruent by SAS?

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?

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?

If AB is equal to 6 units, BC is equal to 5 units, CD is equal to 8 units, and AD is equal to 10 units, what is LO ?

What is the missing reason in the proof?

What is the missing reason in the proof? Statements Reasons 1. line segment SP is congruent to line segment SR 1. given 2. line segment ST perpendicular to line segment PR 2. converse of the perpendicular bisector theorem 3. line segment PT is congruent to line segment RT 3. ? 4. line segment QT perpendicular to line segment PR 4. line segment ST and line segment QT name the same line. 5. line segment QP is congruent to line segment QR 5. perpendicular bisector theorem 6. triangle QPT is congruent to triangle QRT 6. HL theorem

Which transformation(s) can map triangle PQR onto triangle STU ?