Triangle Congruence: Mastery Test

Can triangle A be mapped onto triangle B using rigid transformations?

A. Triangle A can be mapped onto triangle B by rotating and then translating triangle A.

In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?

C. 28

Using the SSS congruence criterion, what additional information is needed to show that ΔRST ≅ ΔUTS?

D. RT ≅ US

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the ----criterion. (Use the three-letter abbreviation without spaces.)The value of x is---- , and the value of y is---- .

SSS 11 8

Select the correct answer from each drop-down menu. Given: line AB ∥ line DC and DF¯≅BF¯ Prove:ΔDFC≅ΔBFA ∠FDC= ∠FBA ∠AFB=∠---

∠FDC =∠FBA by the alternate interior angles theorem ∠AFB= ∠CFD by the vertical angles theorem ΔDFC and ΔBFA are congruent given ASA