Triangle Congruence: SSS and HL — Cumulative exam Answers

Which statements are true based on the diagram? Select two options.

3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2.25.

A composition of transformations maps ΔKLM to ΔK"L"M".

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

Angle MON is a straight angle and bisects MOQ.

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?

Point Z is the circumcenter of ΔTUV.

Which two undefined geometric terms always describe figures with no beginning or end?

On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1).

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

Which diagram shows lines that must be parallel lines cut by a transversal?

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 3, negative 1), (negative 1, 2), and (negative 5, 3). Triangle R S T has points (1, 1), (3, 4), and (5, 0).

The degree of the polynomial is 10. What is the value of k?

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

Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U.

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Given: RT ≅ TV and ST ≅ TUProve: RSVU is a parallelogram. Statements Reasons1.RT ≅ TV; ST ≅ TU1.given2.∠RTS and ∠VTU are vert. ∠s;∠RTU and ∠VTS are vert. ∠s2.definition of vertical angles3.∠RTS ≅ ∠VTU;∠RTU ≅ ∠VTS3.vertical angles are congruent4.?4.SAS congruency theorem5.∠VRS ≅ ∠RVU; ∠USR ≅ ∠SUV; ∠VRU ≅ ∠RVS; ∠RUS ≅ ∠USV5.CPCTC6.∠VRS and ∠RVU, ∠USR and ∠SUV, ∠VRU and ∠RVS, ∠RUS and ∠USV are each a pair of alternate interior angles6.definition of alternate interior angles7.RS ∥ UV and RU ∥ SV7.converse of the parallelogram diagonal theorem8.RSVU is a parallelogram8.definition of parallelogramWhat is the missing statement in step 4?

Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent.