Free Printable Unit 4 Q2 HN CPCTC, HL, Isosceles and Equilateral Triangles

Worksheets

Unit 4 Q2 HN CPCTC, HL, Isosceles and Equilateral Triangles

Total questions: 35

Worksheet time: 51mins

Name

Class

Date

Which value of x would make triangle SUV congruent to TWU by HL?

(a)

What value of x will make the given triangles congruent by Hypotenuse- Leg?

KL is congruent to KM?

(a)

State if the two triangles are congruent. If they are, state how you know.

Congruent by ASA

Congruent by AAS

Congruent by HL

Not Congruent

State if the two triangles are congruent. If they are, state how you know.

Congruent by ASA

Congruent by AAS

Congruent by HL

Not Congruent

State if the two triangles are congruent. If they are, state how you know.

Congruent by ASA

Congruent by AAS

Congruent by HL

Not Congruent

State if the two triangles are congruent. If they are, state how you know.

Congruent by ASA

Congruent by AAS

Congruent by HL

Not Congruent

State if the two triangles are congruent. If they are, state how you know.

Congruent by ASA

Congruent by AAS

Congruent by HL

Not Congruent

State if the two triangles are congruent. If they are, state how you know.

Congruent by ASA

Congruent by AAS

Congruent by HL

Not Congruent

State if the two triangles are congruent. If they are, state how you know.

Congruent by ASA

Congruent by AAS

Congruent by HL

Not Congruent

10.

Which segment is the base?

Segment AB

Segment BC

Segment AC

11.

Which angle is the vertex angle?

12.

If an isosceles triangle has a base angle measuring 40°, then what measure is the VERTEX angle?

120°

100°

40°

80°

13.

Solve for x.

72^o

144^o

46^o

36^o

14.

What should be the value of x, y and z?

x=43°

y=10

z=10

x=43°

y=10

z=5

x=47°

y=10

z=5

x=47°

y=10

z=10

15.

Find the value of x

(a)

16.

Find the value of x:

(a)

17.

Find measure of angle B.

132

18.

UW≅ ??

19.

Solve for x.

-11

20.

Find m<B.

132

21.

Find the values of m and n. [Ans: m, n]

54, 27

27, 27

27, 36

36, 27

22.

Find the value of x.

(a)

23.

Find the measure of m<ACB

(a)

24.

If triangle ABC is equilateral, what is the perimeter of the triangle.

180

25.

If $\Delta ABC$ is isosceles, what could its angle measurements be?

$20\degree,40\degree,120\degree$

$40\degree,\ 40\degree,\ 100\degree$

$120\degree,\ 120\degree,\ 40\degree$

$60\degree,\ 60\degree,\ 90\degree$

26.

What does CPCTC stand for?

Congruent parts of congruent triangles are congruent

Corresponding parts of congruent triangles are congruent

Corresponding parts of corresponding triangles are corresponding

Corresponding parts of congruent triangles are Canadian.

27.

∆ABC≅∆XYZ
which is true?

AB≅XY

AB≅YX

AB≅XZ

BC≅CB

28.

If ∆PIG ≅ ∆COW, WO≅?

29.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

45^o

55^o

80^o

100^o

30.

What is the measure of <C?

5º

25º

100º

125º

31.

What is reason #2?

Vertical angles are congruent.

Consecutive angles are congruent.

Alternate interior angles are congruent.

Definition of Bisect

32.

What is the "reason" for step 5 of the proof?

Angle Bisector Theorem

Reflexive property

CPCTC Theorem

Proof

33.

Identify the missing statement or reason

Given

Vertical Angles Theorem

Definition of Angle Bisector

Alternate Interior Angles Theorem

34.

Identify the missing statement or reason

Definition of Angle Bisector

Alternate Interior Angles Theorem

Reflexive Property

Definition of Midpoint

35.

What is the correct choice for step 4?

⊿GHI ≅ ⊿JKL

⊿GHI ≅ ⊿KLJ

⊿GHI ≅ ⊿LJK

⊿GHI ≅ ⊿LKJ

100 %

Unit 4 Q2 HN CPCTC, HL, Isosceles and Equilateral Triangles

Total questions: 35

Worksheet time: 51mins

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