Midterm Geometry

What is the definition of adjacent angles?

• Two angles that are equal

• Two angles that are supplementary

• Two angles that are opposite each other

• Two angles that share a common vertex and side

Tags

CCSS.7.G.B.5

What is the definition of complementary angles?

• Two angles that sum to 90 degrees

• Two angles that sum to 180 degrees

• Two angles that are equal

• Two angles that are adjacent

Tags

CCSS.7.G.B.5

What is the definition of a bisector?

• A line that divides an angle into two equal parts

• A line that intersects another line at a right angle

• A line that connects two points

• A line that is parallel to another line

Tags

CCSS.HSG.CO.A.1

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.

Tags

CCSS.8.G.A.5

What is the measure of angle b?

• 36^o

• 56^o

• 63^o

• 117^o

Tags

CCSS.8.G.A.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.8.G.A.5

Which illustration shows the correct construction of an angle bisector?

• 
• 
• 
• 

Tags

CCSS.HSG.CO.C.9

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.8.G.A.5

Natalie is playing with the pinwheel like the one shown in the picture above. Which degree of rotation would carry the pinwheel onto itself?

• 5°

• 125°

• 216°

• 225°

Tags

CCSS.HSG.CO.A.4

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