Chapter 1; Basics of Geometry

Find the distance between the two points: A (-5,8) and B (-10,-4)

• 13
• 12.35
• 6.40
• 15

Tags

CCSS.HSG.GPE.B.7

Plot the given points.  Find the perimeter and area of the polygon with the given vertices D(-3,4), E(-3,6) F(-8,4).

• Perimeter=12.39; Area= 7
• Perimeter= 12.39; Area= 5
• Perimeter = 11.45; Area= 7; 
• Perimeter = 11.45; Area= 5

Tags

CCSS.HSG.GPE.B.7

Name three different angles in the diagram.

• ∠PQR, ∠PQS, ∠RQS
• ∠QRS, ∠PQS, ∠ SQR 
• ∠PQR, ∠PQS,  ∠QRS 
• ∠ PQR, ∠QRS, ∠SRQ  

Name a pair of adjacent complementary angles.

• ∠AED ∠AEC
• ∠BEC ∠HFJ
• ∠AEB ∠BEC
• ∠GFH ∠HFJ

Tags

CCSS.7.G.B.5

Name a pair of nonadjacent complementary angles.

• ∠AED ∠AEC
• ∠BEC ∠HFJ
• ∠AEB ∠BEC
• ∠HFJ ∠AEB

Tags

CCSS.7.G.B.5

Name a pair of nonadjacent supplementary angles. 

• ∠GFK ∠BEC
• ∠AEB ∠BEC
• ∠HFJ ∠AEB
• ∠HFK, ∠AEB

Tags

CCSS.7.G.B.5

∠1 is a complement of ∠2,
and m∠2 = 71°.
Find m∠1.

• 19°
• 21°
• 109°
• 9°

Tags

CCSS.7.G.B.5

∠3 is a supplement of ∠4, 
and m∠4 = 26.7°. 
Find m∠3.

• 153.3°
• 154°
• 63.3°
• 64.3°

Tags

CCSS.7.G.B.5

∠WXY and ∠YXZ are complementary angles, m∠WXY= (2x +5)° and
m∠YXZ = (8x-5)° 
Solve for x.  
Then solve for ∠WXY and ∠YXZ.

• x= 9; ∠WXY = 24°; ∠YXZ =  68°
• x=9; ∠WXY = 23°; ∠YXZ = 67° 
• x=10/6; ∠WXY = 24°; ∠YXZ = 68° 
• x=10/6; ∠WXY= 30°; ∠YXZ = 50

Tags

CCSS.7.G.B.5

 Write and solve an algebraic equation to find the measure of each angle based on the given description.  Solve for the variable and then solve for the measure of each angle.
Two angles form a linear pair.  The measure of one angle is 16° less than the measure of the other angle.

• 98°   82°
• 97°  83°
• 94°  86°
• 102°  78°

Tags

CCSS.7.G.B.5