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Geometry Congruent Triangles

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Geometry Congruent Triangles
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20 questions

Show all answers

1.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

Find the measure of each missing angle.

m∠1m\angle1 : (a)  

m∠2m\angle2 : ​ (b)  

m∠3m\angle3 : ​ (c)  

m∠4m\angle4 : ​ (d)  

63

49

87

44

131

68

93

112

122

107

Tags

CCSS.8.G.A.5

2.

LABELING QUESTION

1 min • 1 pt

Given: NL‾ \overline{NL}\ and ∠KLM\angle KLM

Prove: ΔNKL≅ΔNML\Delta NKL\cong\Delta NML NL‾≅NL‾\overline{NL}\cong\overline{NL}

h
i
j
g
f
e
d

Alternate interior angles

AAS

ΔNKL≅ΔNML\Delta NKL\cong\Delta NML

∠KLN≅∠MLN\angle KLN\cong\angle MLN

ASA

Given

∠LNM≅∠KLN\angle LNM\cong\angle KLN

Reflexive Property

Definition of angle bisector

NL‾≅NL‾\overline{NL}\cong\overline{NL}

Tags

CCSS.HSG.SRT.B.5

3.

LABELING QUESTION

1 min • 1 pt

Given: BD‾≅ED‾ , CD‾ ≅ FD‾\overline{BD}\cong\overline{ED}\ ,\ \overline{CD}\ \cong\ \overline{FD}

Prove: BC‾ ≅ EF‾\overline{BC}\ \cong\ \overline{EF}

g
h
a
b
c
d

∠BDC≅∠EDF\angle BDC\cong\angle EDF

∠E≅∠C\angle E\cong\angle C

Vertical Angles

BD‾≅EC‾\overline{BD}\cong\overline{EC}

SSS

Given

SAS

BC‾≅EF‾\overline{BC}\cong\overline{EF}

Tags

CCSS.HSG.SRT.B.5

4.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

Solve for xx .

x=x= ?

66

Mathematical Equivalence

ON

Tags

CCSS.8.G.A.5

5.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

A) KM ≅\cong ​ (a)  

B) CY ≅\cong ​ (b)  

C) PK ≅\cong ​ (c)  

D) ∠Y≅\angle Y\cong ​ (d)  

E) ∠K≅\angle K\cong ​ (e)  

AC
MP
YA

∠P\angle P  

∠A\angle A  

∠KMP\angle KMP  

∠CYA\angle CYA  

∠PKM\angle PKM  

Tags

CCSS.HSG.CO.B.7

6.

DRAG AND DROP QUESTION

1 min • 2 pts

Media Image

To solve for x, you should make an equation using (a)   . When you solve that, you get x = ​ (b)   . When you plug that back in, you can find AM=​ (c)   and since BT is the same as ​ (d)   , BT=​ (e)   .

AB and AM

4

29

35

MN

AM and MN

1

5

2

13

Tags

CCSS.HSG.CO.B.7

7.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

∠A =


(a)  

∠M

∠N

∠L

Tags

CCSS.HSG.CO.B.7

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