12 multiple-choice questions, progressively harder.
In △ABC≅△DEF\triangle ABC\cong\triangle DEF△ABC≅△DEF, which vertex is paired with B?
Solution
Correct answer: C
Read the same position in each name. BBB is second and EEE is second, so
If △ABC≅△JKL\triangle ABC\cong\triangle JKL△ABC≅△JKL, which side corresponds to ACACAC?
Correct answer: A
The endpoints map as
Thus
Given △ABC≅△PQR\triangle ABC\cong\triangle PQR△ABC≅△PQR, which angle corresponds to ∠BAC\angle BAC∠BAC?
Correct answer: D
The vertex of ∠BAC\angle BAC∠BAC is AAA, which matches PPP. Map all three letters:
One actual triangle has side lengths 7, 10, and 12 cm. A second has side lengths 10, 12, and 7 cm. What establishes that they are congruent?
Correct answer: B
Pair equal lengths, regardless of how the lists are ordered. The three matches are
All three corresponding side pairs match, so SSS applies.
How many corresponding parts are in the complete side-and-angle description of two congruent triangles?
Each triangle contributes three sides and three angles to the matching. The number of pairs is
Which description states what it means for two triangles to be congruent?
Congruence requires an exact rigid-motion match. Each distance is preserved, for example
A stretch can change size, and equal perimeters alone do not fix a triangle.
A triangle is reflected across a line. How does its image compare with the original?
Reflection is a rigid motion. It preserves each distance, so every corresponding side satisfies
The reflection itself gives a mapping that establishes congruence.
The given ordered congruence and length are:
Find UWUWUW.
The first and third vertices match, so RTRTRT corresponds to UWUWUW.
Their lengths are equal:
Which information is exactly what SSS requires?
SSS means Side-Side-Side. Use this ordered correspondence:
The required side pairs are:
After drawing MN, the construction must have these lengths:
Which compass arcs locate PPP?
A circle records distance from its center. The needed distance conditions are
Use the matching radius at each named endpoint.
Two triangles have two pairs of equal corresponding side lengths. Is that enough information to use SSS?
The letters SSS represent three side matches. The number of side pairs still unchecked is
Two matching lengths leave the third pair unknown.
Two corresponding base segments have equal nonzero lengths. Which steps can make them coincide with the endpoints matched?
After translation the first endpoints coincide. Rotation aligns the rays, and equal base lengths put the second endpoints together:
No resizing is needed.
Reset this practice set?
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