Geometry Congruent Triangles Quiz – Free PDF

Contents

This geometry congruent triangles quiz asks 10 multiple-choice questions on congruent triangles: sss, sas, asa, aas and hl, and each answer comes with a short explanation.

Ten multiple-choice questions check the congruence criteria, corresponding parts, and rigid motions. Choose the single best answer for each question. The explanation after each question names the typical mistake.

GeometryCommon Core: G-CO.B.6 · G-CO.B.7 · G-CO.B.8 · G-SRT.B.5

🎯 Congruent Triangles: SSS, SAS, ASA, AAS and HL – Geometry math quiz

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Question 1

Which criterion proves the two triangles congruent?

Marked triangles.

A SSS

B ASA

C SAS

D HL

Question 2

\(\triangle ABC\cong\triangle DEF\). Which side corresponds to \(\overline{BC}\)?

A \(\overline{DE}\)

B \(\overline{DF}\)

C \(\overline{AB}\)

D \(\overline{EF}\)

Question 3

Which criterion proves the two right triangles congruent?

Marked right triangles.

A SAS

B SSS

C HL

D AAS

Question 4

\(\triangle ABC\cong\triangle DEF\), \(m\angle A=(5x-8)^{\circ}\), and \(m\angle D=(3x+14)^{\circ}\). What is \(m\angle A\)?

A \(11^{\circ}\)

B \(55^{\circ}\)

C \(47^{\circ}\)

D \(33^{\circ}\)

Question 5

Two triangles each have two sides and a non-included angle congruent (SSA). Which statement is true?

A They are always congruent by SAS.

B They might not be congruent, because SSA can fit two triangles.

C They are always congruent by ASA.

D They are congruent only if they are acute.

Question 6

Two triangles both have angles of \(60^{\circ}\), \(60^{\circ}\), and \(60^{\circ}\). What can you conclude?

A They have the same shape but may differ in size.

B They are congruent by AAA.

C They are congruent by AAS.

D They have equal perimeters.

Question 7

\(\triangle PQR\cong\triangle STU\) by SAS. Which conclusion follows by CPCTC?

A \(\angle Q\cong\angle T\)

B \(\angle Q\cong\angle S\)

C \(\angle Q\cong\angle U\)

D \(\angle R\cong\angle T\)

Question 8

Triangle ABC is reflected across the \(y\)-axis. Where does the image of \(A(3,-2)\) land?

A \((3,2)\)

B \((-3,2)\)

C \((2,-3)\)

D \((-3,-2)\)

Question 9

Which criterion proves the two triangles congruent?

Marked triangles.

A ASA

B AAS

C SAS

D SSS

Question 10

Two right triangles each have a hypotenuse of 10 and a leg of 6. How long is the other leg of each?

A \(8\text{ units}\)

B \(4\text{ units}\)

C \(16\text{ units}\)

D \(11.7\text{ units}\)

🎉 Quiz complete!

0 / 10

How does this quiz work?

Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

What should you review before the quiz?

Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

Remember:

Rigid motions keep lengths and angle measures, so an image triangle is congruent to the original.
Valid criteria are SSS, SAS, ASA, AAS, and HL (right triangles only).
SSA and AAA do not prove congruence.
CPCTC: after triangles are proven congruent, all their corresponding parts are congruent.