Select the correct statement.

$$\angle ACB\cong\angle ECD$$ because of the vertical angles theorem

$$\angle C\cong\angle C$$ because of the vertical angles theorem

$$\overline{CA}\cong\overline{CD}$$ because of the definition of a midpoint

$$\angle C\cong\angle C$$ because of reflexive property of congruency

What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

$$\overline{TV}\cong\overline{TV}$$ ; reflexive property of congruency

$$\angle U\cong\angle S$$ ; alternate interior angles theorem

$$\overline{TU}\cong\overline{SV}$$ ; definition of congruency

nothing is hidden, all of the congruent parts are marked

\angle U\cong\angle S ∠ U ≅ ∠ S ; vertical angles theorem

What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

$$\angle WYX\cong\angle ZYA$$ ; vertical angles theorem

$$\overline{WA}\cong\overline{WA}$$ ; reflexive property of congruency

$$\angle Y\cong\angle Y$$ ; vertical angles theorem

$$\overline{WX}\cong\overline{ZA}$$ ; definition of a parallel lines

nothing is hidden, all of the congruent parts are marked

What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

$$\angle DCF\cong\angle BCE$$ ; vertical angles theorem

$$\angle C\cong\angle C$$ ; reflexive property of congruency

$$\overline{EC}\cong\overline{CF}$$ ; definition of a midpoint

nothing is hidden, all of the congruent parts are marked

$$\angle C\cong\angle C$$ ; vertical angles theorem

What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

$$\overline{BD}\cong\overline{BD}$$ ; reflexive property of congruency

$$\overline{DA}\cong\overline{DC}$$ ; definition of a midpoint

$$\angle A\cong\angle C$$ ; reflexive property of congruency

nothing is hidden, all of the congruent parts are marked

Hidden Congruency

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.B.5, HSG.CO.B.7, HSG.CO.C.9

+3

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

DE≅WV

DE≅DF

FE≅XV

XV≅WX

Tags

CCSS.HSG.SRT.B.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Are the triangles shown congruent?

Yes, by HL

Yes, by SAS

Yes, by SSS

Not enough information

Tags

CCSS.HSG.SRT.B.5

3.

MATCH QUESTION

1 min • 1 pt

Correctly match each theorem, accordingly.

side-side-side

A-S-A

angle-angle-side

S-S-S

side-angle-side

H-L

angle-side-angle

A-A-S

hypotenuse-leg

S-A-S

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

4.

HOTSPOT QUESTION

1 min • 1 pt

What part of the following triangle is congruent based on a hidden congruence?

Tags

CCSS.HSG.CO.C.9

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

Yes, △ABC≅△YXW

Yes, △CBA≅△WXY

Yes, △BCA≅△XYW

No

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the "hidden congruency" in the following image.

There is no hidden congruency

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is a correct congruence statement.

A

B

C

D

Tags

CCSS.HSG.CO.B.7

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Hidden Congruency

20 questions

Are the triangles shown congruent?

Correctly match each theorem, accordingly.

What part of the following triangle is congruent based on a hidden congruence?

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

What is the "hidden congruency" in the following image.

Which is a correct congruence statement.

What is the justification (reason)?

Select the correct statement.

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