Triangle and Quadrilateral Proofs Quiz

Which of the following is NOT one of the ways we prove 2 triangles to be congruent?

• ASA

• AAS

• SSA

• SAS

If triangle D'E'F' is the image of triangle DEF, under which transformation will the triangles NOT be congruent?

• rotation of 180 degrees about the origin

• dilation centered at the origin with a scale factor of 2

• reflection over the y-axis

• translation 2 units left and 1 unit down

Given: AN || CS. This would make angle NAK and angle CSK...

• congruent alternate interior angles.

• supplementary alternate interior angles.

• congruent vertical angles.

• supplementary vertical angles.

Given: Triangle AKN and triangle CKS. This would make angle AKN and angle CKS...

• congruent alternate interior angles.

• supplementary alternate interior angles.

• congruent vertical angles.

• supplementary vertical angles.

Given: AC and BD bisect each other at point E. Given this information, which of the following reasons could you use to prove triangle AEB congruent to triangle DEC?

• SSS

• ASA

• AAS

• SAS

What is the best answer to give when describing why rigid motions (rotations, reflections, or translations) cause an image to be congruent to its preimage?

• Rigid motions preserve size and shape.

• Rigid motions preserve distance and angle measure.

• Rigid motions preserve size and angle measure.

• Rigid motions preserve distance and shape.

Given - Angle A is congruent to angle X, Angle C is congruent to angle Z, and Side AC is congruent to side XZ. Based on this info, which reason would we use first to prove the two triangles congruent? Then, which reason would we use to prove angle B congruent to angle Y?

• First AAS, then CPCTC

• First CPCTC, then ASA

• First CPCTC, then AAS

• First ASA, then CPCTC

Given: EA is perpendicular to side ZAT. A student then writes the statement "Angle EAT and angle EAZ are right angles." What is the reason for this?

• all right angles are congruent

• perpendicular lines form right angles

• perpendicular angles are congruent

• all right angles are perpendicular

After you state that two angles are right, you may then state that the 2 angles are congruent. What will ALWAYS be the reason for this?

• all right angles are congruent

• perpendicular lines form right angles

• hypotenuse leg

• all right angles are perpendicular

If it is given that X is the midpoint of RS, then you are ONLY allowing to make which of the following statement, and then reason?

• TX is congruent to XV because a midpoint cuts a line segment in half.

• TV is congruent to RS because a midpoint cuts a line segment in half.

• RX is congruent to XS because a midpoint cuts a line segment in half.

• TR is congruent to SV because a midpoint cuts a line segment in half.