Unit 7 Review: Triangle Theorems

In Triangle DEF, ∠D is acute. Which statement is true about the sum of angles E and F?

• m∠E + m∠F = 90

• m∠E + m∠F < 90

• m∠E + m∠F > 90

• m∠E + m∠F =180

What is the measure of ∠LMN?

• 52⁰

• 59⁰

• 74⁰

• 78⁰

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the value of x.

• -17

• -15

• 18

• 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.SRT.B.4

Find the value of x if Segment CD is a midsegment of Triangle TSU.

• -12

• -13

• -15

• 12

Tags

CCSS.HSG.SRT.B.4

Point P is the centroid of Triangle XYZ. If YP = 18, find the measures of PV and YV.

• PV = 9, YV = 27

• PV = 4.5, YV = 9

• PV = 3, YV = 9

• PV = 8, YV = 24

Tags

CCSS.HSG.SRT.B.4

Which of the following is the correct classification of ΔMNP if m∠M = 35° and m∠P = 47°?

• Equiangular

• Acute

• Obtuse

• Right

Tags

CCSS.HSG.CO.C.10

Triangle FGH is similar to Triangle FVU. Find the missing length.

• 76

• 90

• 127

• 132

Point N is the centroid of Triangle GHI.

Find the measure of NC if GN = 18.4.

• 4.6

• 6.13

• 18.4

• 9.2

Classify each triangle by its angle and its sides.

a. ΔABE: ​ (a)  

b. ΔBEC: ​​ (b)  

c. ΔDEF: ​​ (c)  

d. ΔCDF:​ (d)   ​

• Right, Scalene
• Acute, Isosceles
• Equiangular, Equilateral
• Obtuse, Scalene
• Obtuse, Isosceles
• Right, Isosceles

Tags

CCSS.8.G.A.5

CCSS.8.G.B.6

CCSS.8.G.B.7

CCSS.8.G.B.8

Find the value of x.

• 18

• 10

• 15

• 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9