Big Ideas Geometry Midterm Review

Which geometric principle is used to justify the construction?

• A line perpendicular to one of two parallel lines is perpendicular to the other.

• Two lines are perpendicular if they intersect to form congruent adjacent angles.

• When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel.

• When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.

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

What is the measure of angle b?

• 36^o
• 56^o
• 63^o
• 117^o

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

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

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

Which statement cannot always be proven?

• AC ≅ DC

• BC ≅ CD

• ∠ACB ≅ ∠DCB

• △ABC ≅ △DBC

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

• SAS
• ASA
• AAS
• Not Congruent

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

• SSS
• AAS
• AA
• Not Congruent

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

• FE
• DE
• FD
• DF

If ∆ABC ≅∆DEF, which of the following is not a pair of congruent angles?

• A and D
• A and E
• E and B
• F and C