Unit 4 Test

Last updated almost 2 years ago

22 questions

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Unit 4 Test

Last updated almost 2 years ago

22 questions

1

Use the following figure below for 3- 5.

1

0

1

What is the value of the exterior angle?
Hint: The exterior angle is the sum of the two nonadjacent interior angles.

1

Determine the value of x.
Note: You must first figure out the measure of the base angle in the isosceles triangle.

1

Determine the value of x.

1

Given an equilateral triangle, determine the values of x.
Note: You must first figure out the measure of an angle in an equilater triangle.

1

Given an equilateral triangle, determine the values of y.
Note: You must first figure out the measure of an angle in an equilater triangle.

3

Draggable item		Corresponding Item

2

For problems 18 – 22, fill in the missing statements or reasons to complete the proof.

1

1. Classify the triangle by its SIDES and ANGLES.

What would you use to prove corresponding parts of congruent triangles congruent?

Use the following figure below for 3- 5.

If ∆ALX is congruent to ∆GIW, then what is measure of angle I ?

Complete the sentence:
If ∆ALX is congruent to ∆GIW, then segment LA is congruent to...

Complete the sentence:
If ∆ALX is congruent to ∆GIW, then ∆XAL is congruent to...

Can you prove ∆ABD ≅ ∆CBD by one of the following theorems?

Can you prove ∆ABC ≅ ∆ADC by one of the following theorems?
Given: Segment AC bisects angle BAD and angle BCD.

How would you conclude that ∆ABD ≅ ∆CDB ?

If segment AE is parallel to segment CD, then which of the following statement would be true?

∠A is congruent ∠C

segment AE is congruent to segment CD

Point B is the midpoint of segment AD.

None of these statements are true.

∠A is congruent ∠D

Classify the triangle with vertices A (0, 0), B (4, 10), and C (8, 0) by its sides and angles?

What is the value of the exterior angle?
Hint: The exterior angle is the sum of the two nonadjacent interior angles.

Determine the value of x.
Note: You must first figure out the measure of the base angle in the isosceles triangle.

Determine the value of x.

Given an equilateral triangle, determine the values of x.
Note: You must first figure out the measure of an angle in an equilater triangle.

Given an equilateral triangle, determine the values of y.
Note: You must first figure out the measure of an angle in an equilater triangle.

Prove that ∆ABD is congruent to ∆DCA by matching the statements to the correct reasons.

Draggable item		Corresponding Item
∠B ≅ ∠C		Given
		All right angles are congruent.
∆ABD ≅ ∆DCA		Given
∠BAD ≅ ∠CDA		Reflexive Property
∠B & ∠C are right angles		AAS Theorem

Prove that triangle TSN is congruent to triangle USH by putting the steps of the following proof in logical order.

∆TSN ≅ ∆USH (AAS Theorem)
(Definition of a Midpoint)
∠T ≅ ∠U and S is the midpoint of segment NH (Given Facts)
∠TSN ≅ ∠USH (Vertical Angles are Congruent)

For problems 18 – 22, fill in the missing statements or reasons to complete the proof.

Fill in the missing statement from above.

Fill in the missing reason from above.

Fill in the missing statement from above.

1. Classify the triangle by its SIDES and ANGLES.

Scalene, Right

Isosceles, Obtuse

Isosceles, Right

Equilateral, Acute

Acute, Obtuse

What would you use to prove corresponding parts of congruent triangles congruent?

AAS

SAS

CPCTC

SSS

ASA

 If ∆ALX is congruent to ∆GIW, then what is measure of angle I ?

92 degrees

4 cm

33 degrees

55 degrees

There is not enough information to determine the measure of angle l.

Complete the sentence:  
If ∆ALX is congruent to ∆GIW, then segment LA is congruent to...

segment GI

segment IW

segment IG

angle G

segment WI

Complete the sentence:  
If ∆ALX is congruent to ∆GIW, then ∆XAL is congruent to...

∆GWI

∆WGI

∆IGW

∆GIW

All of these answers are correct!

Can you prove ∆ABD ≅ ∆CBD by one of the following theorems?

Yes, by ASA

Yes, by SSS

No, there is not enough information.

Yes, by AAS

Yes, by SAS

Can you prove ∆ABC ≅ ∆ADC by one of the following theorems?
Given: Segment AC bisects angle BAD and angle BCD.

Yes, by SAS

Yes, by SSS

Yes, by ASA

No, there is not enough information.

Yes, by AAS

How would you conclude that ∆ABD ≅ ∆CDB ?

By SAS

By AAS

There is not enough information to conclude these trianlges are congruent.

By ASA

By SSS

If segment AE is parallel to segment CD, then which of the following statement would be true?

∠A is congruent ∠C

segment AE is congruent to segment CD

Point B is the midpoint of segment AD.

None of these statements are true.

∠A is congruent ∠D

Classify the triangle with vertices A (0, 0), B (4, 10), and C (8, 0) by its sides and angles?

Isosceles, acute

Scalene, acute

Equilateral, equiangular

Scalene, right

Isosceles, obtuse

Prove that ∆ABD is congruent to ∆DCA by matching the statements to the correct reasons.

∠B ≅ ∠C

Given

All right angles are congruent.

∆ABD ≅ ∆DCA

Given

∠BAD ≅ ∠CDA

Reflexive Property

∠B & ∠C are right angles

AAS Theorem

Prove that triangle TSN is congruent to triangle USH by putting the steps of the following proof in logical order.

∆TSN ≅ ∆USH  (AAS Theorem)

(Definition of a Midpoint)

 ∠T ≅ ∠U and S is the midpoint of segment NH  (Given Facts)

∠TSN ≅ ∠USH  (Vertical Angles are Congruent)

Fill in the missing statement from above.

∆JIH ≅ ∆HKJ

∠I ≅ ∠K

∠IJH ≅ ∠K

Fill in the missing reason from above.

Given

SSS Theorem

CPCTC

Reflexive Property

SAS Theorem

Fill in the missing reason from above.

∠I ≅ ∠K

∆JIH ≅ ∆HKJ

∠IJH ≅ ∠KJH

Fill in the missing reason from above.

CPCTC

Given

SAS Theorem

SSS Theorem

Reflexive Property

Fill in the missing statement from above.

∠IJH ≅ ∠K

∆JIH ≅ ∆HKJ

∠I ≅ ∠K

Unit 4 Test

Unit 4 Test

What is the value of the exterior angle?Hint: The exterior angle is the sum of the two nonadjacent interior angles.

Determine the value of x.Note: You must first figure out the measure of the base angle in the isosceles triangle.

Determine the value of x.

Given an equilateral triangle, determine the values of x. Note: You must first figure out the measure of an angle in an equilater triangle.

Given an equilateral triangle, determine the values of y. Note: You must first figure out the measure of an angle in an equilater triangle.

1. Classify the triangle by its SIDES and ANGLES.

What would you use to prove corresponding parts of congruent triangles congruent?

If ∆ALX is congruent to ∆GIW, then what is measure of angle I ?

Complete the sentence: If ∆ALX is congruent to ∆GIW, then segment LA is congruent to...

Complete the sentence: If ∆ALX is congruent to ∆GIW, then ∆XAL is congruent to...

Can you prove ∆ABD ≅ ∆CBD by one of the following theorems?

Can you prove ∆ABC ≅ ∆ADC by one of the following theorems?Given: Segment AC bisects angle BAD and angle BCD.

How would you conclude that ∆ABD ≅ ∆CDB ?

If segment AE is parallel to segment CD, then which of the following statement would be true?

Classify the triangle with vertices A (0, 0), B (4, 10), and C (8, 0) by its sides and angles?

What is the value of the exterior angle?Hint: The exterior angle is the sum of the two nonadjacent interior angles.

Determine the value of x.Note: You must first figure out the measure of the base angle in the isosceles triangle.

Determine the value of x.

Given an equilateral triangle, determine the values of x. Note: You must first figure out the measure of an angle in an equilater triangle.

Given an equilateral triangle, determine the values of y. Note: You must first figure out the measure of an angle in an equilater triangle.

Prove that ∆ABD is congruent to ∆DCA by matching the statements to the correct reasons.

Prove that triangle TSN is congruent to triangle USH by putting the steps of the following proof in logical order.

Fill in the missing statement from above.

Fill in the missing reason from above.

Fill in the missing reason from above.

Fill in the missing reason from above.

Fill in the missing statement from above.

What is the value of the exterior angle?
Hint: The exterior angle is the sum of the two nonadjacent interior angles.

Determine the value of x.
Note: You must first figure out the measure of the base angle in the isosceles triangle.

Given an equilateral triangle, determine the values of x.
Note: You must first figure out the measure of an angle in an equilater triangle.

Given an equilateral triangle, determine the values of y.
Note: You must first figure out the measure of an angle in an equilater triangle.

Complete the sentence:
If ∆ALX is congruent to ∆GIW, then segment LA is congruent to...

Complete the sentence:
If ∆ALX is congruent to ∆GIW, then ∆XAL is congruent to...

Can you prove ∆ABC ≅ ∆ADC by one of the following theorems?
Given: Segment AC bisects angle BAD and angle BCD.

What is the value of the exterior angle?
Hint: The exterior angle is the sum of the two nonadjacent interior angles.

Determine the value of x.
Note: You must first figure out the measure of the base angle in the isosceles triangle.

Given an equilateral triangle, determine the values of x.
Note: You must first figure out the measure of an angle in an equilater triangle.

Given an equilateral triangle, determine the values of y.
Note: You must first figure out the measure of an angle in an equilater triangle.