Geometry Midterm Review

In △ABC, m∠A = 3x + 1, m∠B = 4x - 17, and m∠C = 5x - 20. Which type of triangle is △ABC?

• Right

• Scalene

• Isosceles

• Equilateral

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.10

What is the measure of angle b?

• 36^o
• 56^o
• 63^o
• 117^o

Tags

CCSS.HSG.CO.C.10

If ABCD is a parallelogram, which statement would prove a that ABCD is a rectangle?

• ∠ABC ≅ ∠CDA

• AC ≅ BD

• AC ⟂ BD

• ∠ABD ≅ ∠DBC

Tags

CCSS.HSG.CO.C.11

As shown in the diagram below, CD is a median of △ABC.

Which statement is always true?

• AD ≅ DB

• AC ≅ AD

• ∠ACD ≅ ∠CDB

• ∠BCD ≅ ∠ACD

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle, as shown in the accompanying diagram.

What are the values of x and y?

• x = 42 and y = 96

• x = 69 and y = 69

• x = 90 and y = 48

• x = 96 and y = 42

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.10

Given: △ABD, BC is the perpendicular bisector of AD

Which statement cannot always be proven?

• AC ≅ DC

• BC ≅ CD

• ∠ACB ≅ ∠DCB

• △ABC ≅ △DBC

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.9

State if the triangles are congruent. If they are, state how you know.

• SSS
• AAS
• AA
• Not Congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

If ∆ABC ≅∆DEF, what side is congruent to CA?

• FE
• DE
• FD
• DF

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Describe the angle relationship.

• Same Side Interior
• Corresponding
• Alternate Interior
• Same Side Exterior

Tags

CCSS.HSG.CO.C.9

Inverse of the statement: If p, then q.

• If p, then q.

• If q, then p.

• If ~ (not) p, then ~ (not) q.

• If ~ (not) q, then ~ (not) p.

Tags

CCSS.HSS.CP.A.1