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

Which rigid transformation(s) can map triangle MNP onto triangle TSR ?

Quadrilateral ABCD is rotated 145 degrees about point cap t The result is quadrilateral cap A prime cap b prime cap c prime cap d prime Which congruency statement is correct?

Which relationship in the diagram is true?

What is the missing reason in the proof?

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?

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 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?

What is the missing reason in the proof?

Could triangle JKL be congruent to triangle XYZ ? Explain.

Triangle DEF is congruent to triangle GHJ by the SSS theorem. Which rigid transformation is required to map triangle DEF onto triangle GHJ ?

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

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?

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

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

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 ?

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 ?