Download Honors Geometry Midterm Review

GT Geometry
Midterm Review
Name: ___________________________
Date: __________________ Pd: ______
GT Geometry Midterm Review
1) In the isosceles triangle shown at the right, the measure of the exterior
angle HMN is 130°. What is the measure of Q ?
2) In the isosceles triangle show at the right, the measure of the base
angle  B is 43°. What is the measure of BCD ?
3) Solve for a in the diagram shown at the right.
4)
Vertical angles are _________________.
The sum of two supplementary angles equals ______________.
The sum of two complementary angles equals ______________.
5) Classify the pair of angles in the diagram shown at the right.
6) Solve for X in the diagram at the right.
GT Geometry
Midterm Review
Name: ___________________________
Date: __________________ Pd: ______
7) Classify the triangle shown at the right.
8) What is the distance between the points (-7, 5) and (-10, -2)?
Distance Formula =
( x2  x1 ) 2  ( y 2  y1 ) 2
9) What is the midpoint of the line segment that connects points B and C?
 x1  x2 y1  y2 
,

2 
 2
Midpoint Formula = 
10) What type of construction is shown to the right?
11) What is the first step in constructing a perpendicular bisector?
12) What is the area of the region bounded by this shape?
GT Geometry
Midterm Review
Name: ___________________________
Date: __________________ Pd: ______
13)
14)
15)
16)
17)
b. Find the volume of each tennis ball.
c. Find the volume of the cylindrical container.
GT Geometry
Midterm Review
Name: ___________________________
Date: __________________ Pd: ______
18)
19)
20)
BCR 21) What is the measure, in degrees, of XYW ?
X
W
(7x + 15)°
Y
(3x + 23)°
V
Z
ECR 22)
The owner of a house is putting up a triangular shaped fence in his backyard. One side of the backyard
runs the length of the back of the house as shown below.

The owner has four lengths of fencing which he could use: 15 feet, 16 feet, 17 feet and 19 feet.
Which two fencing lengths could he use? Label these lengths on the diagram. Use mathematics
to justify your answer.

The owner would like to place a dog house in the largest corner of the yard and plant flowers in
the smallest corner. On the diagram, determine the locations of the dog house and the flowers.
Use mathematics to justify your answer.
C
House
32 feet
Backyard
B
A