Checkpoint 6A Review

What is the measure of angle b?

Answer explanation

The angles must add up to 90. 90-52=38

Tags

CCSS.7.G.B.5

What is the measure of angle b?

Answer explanation

The angles are supplementary because together they make a straight line. This means they add up to 180 degrees. 180-29=151.

Tags

CCSS.7.G.B.5

What is the length of segment GF?

Answer explanation

14 is the total length of the segment GE. FE is one part of the segment, with a measure of 8. To find the missing part, we do Whole-Part=Part. 14-8=6

Tags

CCSS.6.G.A.3

What is the measure of ∠WVJ?

Answer explanation

WVU is the "whole" angle, made of the two parts inside which must add up to 127 degrees. JVU is a part and measures 75 degrees. To find a missing part, you do Whole-Part=Part. 127-75=52 degrees

Tags

CCSS.7.G.B.5

What is the measure of ∠LMN?

Answer explanation

LMK is one part and equals 36 degrees. KMN is another part and measures 140 degrees. Part+Part = Whole. 140+36=176

Tags

CCSS.7.G.B.5

Segment XY is a perpendicular bisector of segment PQ. The distance from P to J is 47. The distance from X to Q is 35. What is the distance from P to X?

Answer explanation

The distance from X to Q and the distance from P to X will be congruent due to the perpendicular bisector theorem.

Tags

CCSS.HSG.CO.C.9

Segment XY is a perpendicular bisector of segment PQ. If the distance from P to J is 17 and the distance from P to X is 23, what is the distance from J to Q?

Answer explanation

Segment PJ and segment JQ are congruent because the bisector divides the segment into 2 equal parts.

Tags

CCSS.HSG.CO.C.9

Segment BD is a perpendicular bisector of segment AC. What is the measure of segment CD?

Answer explanation

AD and DC are congruent because of the perpendicular bisector theorem.

What is the length of segment MO?

Answer explanation

Because ray QP is a bisector of MO, that means that MN and NO must be congruent. MN is 18, so NO is 18. The question is asking for the distance all the way from M to O, so I add the two segments together to get 36 cm.

Tags

CCSS.HSG.CO.C.9

What is the length of segment VW in yards?

Answer explanation

Since W is the midpoint, it divides VX into two equal parts. WX is one of those parts with a measure of 23 yards. Since the parts are equal, VW must also be 23 yards.

Tags

CCSS.HSG.GPE.B.6