Geometry Congruent Triangles and Rigid Motions Quiz: 10 Questions with Explanations

A SSSB SASC AASD HL

All three pairs of sides are marked congruent. SAS would need an angle.

A QRB PRC ACD PQ

Vertices match in order, so A goes to P and B goes to Q, making AB correspond to PQ.

A SASB ASAC AASD SSA

SSA can describe two different triangles. SAS, ASA and AAS are all valid.

A SSSB HLC ASAD AAA

Right triangles with a congruent hypotenuse and leg are congruent by HL.

A SASB SSAC ASAD SSS

The angle at B is between sides AB and BC, so it is the included angle, which gives SAS.

A 40B 20C 25D 10

Corresponding angles are equal, so 2x + 10 = 50 and x = 20. The value 40 is half of 80 and ignores the 10.

A AASB ASAC SASD SSS

The marked side lies between the two marked angles, which is ASA. In AAS the side is not between the angles.

A Triangles with the same angles always have different shapesB Angles are never equal in two trianglesC Triangles can have the same angles but different sizesD AAA only works for right triangles

AAA fixes the shape only. A small triangle and a large triangle can have identical angles.

A Angle A and angle CB Angle BAC and angle BCAC Angle B and angle DD Angle B and angle C

Matching vertices put B with D. Angles A and C are split by the diagonal, not corresponding.

A The right triangles are congruent by HLB They are congruent by AAAC They are congruent by SSAD Ladders always reach the same height

Hypotenuse 15 and leg 9 match in both triangles, so HL applies. Each reaches 12 feet.