Points, Lines, and Planes
Midpoint and Distance Formula
Perimeter and Area
Angles
Pairs of Angles
100
Find QS.
31
100
The endpoint of AB are A(-4, -8) and B(-1, 4). Find the coordinates of the midpoint M.
(-5/2, -2)
100
Classify the polygon by the number of sides. Tell whether it is convex or concave.
Triangle; convex
100
If m∠ABC = 77°, find m∠ABD.
49°
100
∠1 and ∠2 are complementary angles. If m∠1 = 12°, find m∠2.
78°
200
Find QS.
12
200
The midpoint of EF is M(1, -1). One endpoint is E(-3, 2). Find the coordinates of endpoint F.
(5, -4)
200
Classify the polygon by the number of sides. Tell whether it is convex or concave.
Hexagon; concave
200
If m∠ABC = 77°, find m∠CBD.
28°
200
∠3 and ∠4 are supplementary angles. If m∠3 = 56°, find m∠4.
124°
300
Are point A, R, and B collinear?
No
300
The endpoint of AB are A(-4, -8) and B(-1, 4). Find the length of AB. Round to the nearest tenth, if necessary.
3sqrt17,
or about 12.4 units
300
Find the perimeter of the polygon UVW with vertices U(-2, 4), V(3,4), W(3, -4). Round to the nearest hundredth, if necessary.
About 22.43 units
300
If m∠ABC = 111°, find m∠ABD and m∠CBD.
m∠ABD = 88°
m∠CBD = 23°
300
∠UVW and ∠XYZ are complementary angles, m∠UVW = (x - 10)°, and m∠XYZ = (4x - 10)°. Find the measure of ∠XYZ.
78°
400
Are RB and RW opposite rays?
Yes
400
Point M is the midpoint of AB, where AM = 3x + 8 and MB = 6x - 4. Find AB
40
400
Find the area of the polygon EFG with vertices E(3, 1), F(3, -2), and G(-2, -2). Round to the nearest tenth, if necessary.
7.5 square units
400
BD bisects ∠ABC. Find m∠ABD.
m∠ABD = 24°
400
Find the measures of ∠ADB and ∠BDC formed between the escalators shown.
112°, 68°
500
Can Plane D also be named plane ART?
No
500
The coordinate plane shows distances (in feet) on a baseball infield. The pitcher’s plate is about 3 feet closer to home plate than the midpoint between home plate and second base is to home plate. Estimate the distance between home plate and the pitcher’s plate.
About 60.6 feet
500
Find the perimeter and area of polygon BCEF with vertices B(0, 3), C(4, -1), E(2, -3), and F(-2, 1). Round to the nearest hundredth, if necessary.
P = about 16.97 units
A = 16 square units
500
BD bisects ∠ABC. Find m∠ABD, m∠CBD, and m∠ABC.
m∠ABD = 44°
m∠CBD = 44°
m∠ABC = 88°
500
The measure of an angle is 4 times the measure of its supplement. Find the measure of both angles.
144°, 36°