Triangle Congruence and Similarity Review (Unit 2 Test 2)

• $\overline{ST}\ \cong\ \overline{DS}$

• $\angle B\ \cong\ \angle R$

• $\angle D\ \cong\ \angle T$

• $\overline{RS}\ \cong\ \overline{SB}$

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

• Yes, by AA similarity

• Yes, by SAS similarity

• Yes, by SSA similarity

• No, not possible to tell

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

A section of the track forms a parallelogram ABCD. If the  $m\angle CBA$  is  $64\degree$  , find the  $m\angle CDA$  

•  $64\degree$  

•  $116\degree$  

•  $26\degree$  

•  $244\degree$  

Tags

CCSS.HSG.CO.C.11

By which rules are these triangles CONGRUENT?

• SSS

• SAS

• AAS

• ASA

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Jarvis needs to determine the distance across a lake. However, he can't measure this distance directly over the water. So, he set up a situation where he could use the measurements of two similar triangles to find the distance across the lake.

He selects a point X such that XZ is perpendicular to VZ, where V is a point at the other end of the lake. He then picks a point Y on XZ. From point Y, he finds point W on XV such that WY is parallel to VZ.

If XY = 3,340 feet, WY = 1,670 feet, and XZ = 10,020 feet, what is the length of VZ, the distance across the lake?

• 418 feet

• 5010 feet

• 6680 feet

• 557 feet

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Identify the similar triangles.

• $\Delta LMN\ \sim\ \Delta MPQ$

• $\Delta LMN\ \sim\ \Delta QMP$

• $\Delta LMN\ \sim\ \Delta QPM$

• $\Delta LMN\ \sim\ PQM$

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

What reason for statement 4 completes the proof?

• SSS

• SAS

• ASA

• CPCTC

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

What reason for statement 5 completes the proof?

• SSS

• SAS

• AAS

• CPCTC

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

 $\Delta DEF$  is isosceles.   $\angle E\ \cong\ \angle F.\ m\angle D=50\degree.\ m\angle E=\left(5x+8\right).\$  Find x. 

• 3.4

• 11.4

• 14.4

• 24.4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSG.CO.C.10

• 4

• 6

• 9

• 12

Tags

CCSS.HSG.CO.C.9