Geometry Triangle Proofs

Geometry Triangle Proofs

10th Grade

20 Qs

quiz-placeholder

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Geometry Triangle Proofs

Geometry Triangle Proofs

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSG.SRT.B.5, HSG.CO.C.11, HSG.CO.C.9

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

Substitution Property

Commutative Property

Reflexive Property

CPCTC

Reflective Property

Tags

CCSS.HSG.SRT.B.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is statement #1?

BC≅DC

AC≅EC

BC≅DC, AC≅EC

∆BCA≅∆DCE

Tags

CCSS.HSG.SRT.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is statement #2?

∠ABC≅∠EDC

∠BCA≅∠DCE

BC≅CD

∠E≅∠A

Tags

CCSS.HSG.SRT.B.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the "statement" for step 3 of the proof? 

∡EDA≅∡DCB

∡AED≅∡BEC

DE=CE

∡AED≅∡CED

Tags

CCSS.HSG.SRT.B.5

6.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

Statements Reasons

1. ​ (a)   1. Given

2. ​ (b)   2. Given

3. ​ (c)   3. Given

4. ​ (d)   4. Definition of midpoint

5. ​ (e)   5. AAS

∠DBM ≅ ∠FCM

∠BDM ≅ ∠CFM

M is the midpoint of DF

DM ≅ MF

△BDM ≅ △CFM

∠BMD ≅ ∠CMF

BM ≅ CM

BD ≅ CF

Definition of midpoint

Definition of bisect

Tags

CCSS.HSG.SRT.B.5

7.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

Statements Reasons

1. ∠A ≅ ∠C 1. ​ (a)  

2. BD bisects ∠ABC 2. ​ (b)  

3. ∠DBA ≅ ∠DBC 3. ​ (c)  

4. BDBD 4. ​ (d)  

5. △ABD ≅ △CBD 5. ​ (e)  

Given

Definition of bisect

Reflexive

AAS

Definition of midpoint

SSS

SAS

ASA

Vertical Angles Theorem

Linear Pairs Theorem

Tags

CCSS.HSG.SRT.B.5

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