Geometry R Chapter 4 Test Review

The measures of the angles of a triangle are represented by 3x, x + 30, and 3x + 10. Find the value of x.

• 15

• 20

• 25

• 30

The measures of the angles of a triangle are represented by 3x, x + 30, and 3x + 10. Find the measure of angle 3x + 10

• 60

• 70

• 90

• 20

In the accompanying diagram of isosceles triangle DEF, DE ≅ DF, m∠EDF = y, and m∠DEF = y + 20. What is the value of y?

• 70

• 60

• 50

• 40

In the accompanying diagram, ∠ACD is an exterior angle of ΔABC. If m∠A = 45 and m∠B = 55, find m∠ACD.

• 100

• 110

• 120

• 130

In the accompanying diagram, B is the midpoint of AC, DA ⊥ AC, EC ⊥ AC, and DB ≅ EB. Which method of proof may be used to prove ΔABD ≅ ΔCBE?

• A) SAS ≅ SAS

• B) ASA ≅ ASA

• C) HL ≅ HL

• D) AAS ≅ AAS

In the accompanying diagram of quadrilateral ABCD, diagonal AC bisects ∠BAD and ∠BCD. Which statement can be used to prove that ΔABC ≅ ΔADC?

• A) HL ≅ HL

• B) SSS ≅ SSS

• C) ASA ≅ ASA

• D) SAS ≅ SAS

• x = 5

• x = 6

• x = 7

• x = 8