Big Ideas Geometry Basics of Geometry

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

• 13
• 12.35
• 6.40
• 15

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

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

Name a pair of nonadjacent complementary angles.

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

Name a pair of nonadjacent supplementary angles. 

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

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

• 19°
• 21°
• 109°
• 9°

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

• 153.3°
• 154°
• 63.3°
• 64.3°

∠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

 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°