Unit 4 Test

Last updated over 1 year ago
22 questions
1

1. Classify the triangle by its SIDES and ANGLES.

1

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

Use the following figure below for 3- 5.

1

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

1

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

1

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

1

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

1

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

0

How would you conclude that ∆ABD ≅ ∆CDB ?

1

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

1

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

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

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

Draggable itemCorresponding Item
∆ABD ≅ ∆DCA
Given
∠B & ∠C are right angles
All right angles are congruent.
∠BAD ≅ ∠CDA
Given
Reflexive Property
∠B ≅ ∠C
AAS Theorem
2

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

  1. ∆TSN ≅ ∆USH (AAS Theorem)
  2. (Definition of a Midpoint)
  3. ∠T ≅ ∠U and S is the midpoint of segment NH (Given Facts)
  4. ∠TSN ≅ ∠USH (Vertical Angles are Congruent)
For problems 18 – 22, fill in the missing statements or reasons to complete the proof.

1

Fill in the missing statement from above.

1

Fill in the missing reason from above.

1

Fill in the missing reason from above.

1

Fill in the missing reason from above.

1

Fill in the missing statement from above.