Unit 5 Geometry

use the two triangles ∆𝐴𝐿𝑋 ≅ ∆GIW.    

 $\overline{LX\ }$  $\cong_{ }$ ______

• GI

• IW

• WG

• AL

• W

• G

• A

• L

Use ∆𝐴𝐿𝑋 ≅ ∆𝐺𝐼W

∆𝐿𝐴𝑋 ≅_____

• ∆𝑊𝐺I

• ∆WIG

• ∆IGW

• ∆IWG

Which postulate lets you immediately conclude that the following two triangles are congruent?

Remember what a right angle means.

• SAS

• ASA

• SSS

• HL

Is ∆𝑇𝑁𝑆 ≅ ∆𝑈𝐻𝑆? If so, which postulate proves it?

Hint:: What are vertical angles?

• Yes, SSS

• Yes, SAS

• Yes, AAS

• No, the triangles are not congruent

Are the triangles congruent? If so, which postulate proves it?

• Yes, SSS

• Yes, SAS

• Yes, ASA

• No, the triangles are not congruent

Are the triangles congruent? If so, which postulate proves it?

• Yes, SSS

• Yes, SAS

• Yes AAS

• No, the triangles are not congruent

Which two of the following triangles are congruent by ASA?

• ∆𝑉𝑇𝑈 ≅ ∆𝐴𝐵C

• ∆𝑇𝑉𝑈 ≅ ∆𝐺𝐹𝐻

• ∆𝐺𝐹𝐻 ≅ ∆𝐵𝐶A

• ∆𝐴𝐵𝐶 ≅ ∆𝐹𝐺H

In the diagram below, 𝐴𝐵̅ ≅ 𝑌𝑊̅ and 𝐴𝐶̅̅ ≅ 𝑌𝑋̅̅. Which additional fact is necessary to prove that ∆𝐴𝐵𝐶 ≅ ∆𝑌𝑊𝑋?

• CB ≅ XW

• BC ≅ YX

• BA ≅ WX

• CAB ≅ WXY

Given ∆𝑀𝑁𝑂 ≅ ∆𝑃𝑄𝑅, 𝑚∠𝑁 = 3𝑥 + 4, and 𝑚∠𝑄 = 8𝑥 − 6, find x and the value of 𝑚∠𝑁.

• 𝑥 = 1, 𝑚∠𝑁 = 7

• 𝑥 = 2, 𝑚∠𝑁 = 10

• 𝑥 = 2.5, 𝑚∠𝑁 = 11.5

• 𝑥 = 1.1, 𝑚∠𝑁 = 7.3