Geometry Chapter 1&2 Review

Midpoint and Distance

100

Find the midpoint of (-2,5) and (8-12)

What is (3, -3.5)

200

Find the point that bisects a segment with endpoints (-3,-2) and (-1,3). 

What is (-2, 0.5)

300

Find the distance from (1,3) to (3,-2). Round to the nearest tenth.

What is 5.4 units

400

Find the length of the segment with endpoints (5,10) and (10,0). Round to the nearest tenth. 

What is 11.2

500

Find the coordinates of the point 3/5 of the way from A (3,-4) to B (13,11).

What is (9,5)

Segment and Angle Addition Postulate

100

T,U, and V are collinear, with U between T and V. If TU=7x-4 and UV=6x+10 and TV=45, find TU. 

What is 17

200

Points P, Q, and R are collinear in that order with Q between P and R. The length of PQ = 3x + 4, the length of QR = 2x - 1, and the total length of PR = 33. Find the length of PQ.

What is 22

300

Ray BD is in the interior <ABC. If m<ABD = 42 and m<DBC = 35, find the measure of the whole angle, m<ABC.

What is 77

400

Ray KM lies in the interior of <JKL. The m<JKM=5x - 2, m<MKL=3x + 10, and the total measure of <JKL=104. Find the measure of <JKM.

What is 58

500

Ray BD bisects <ABC. If m<ABD = 7x + 3 and m<DBC = 9x - 11, find m<ABC.

What is 104

Conditional Statements, Etc.

100

Turn the following statement into a conditional statement: 

When it is Friday, tomorrow is Saturday.

What is:

If today is Friday, then tomorrow is Saturday.

200

Find the converse of the following conditional statement: 

If an number is even, then it is divisible by 2.

What is:

If a number is divisible by 2, then it is even. 

300

Find the inverse of the following conditional statement: 

If an number is even, then it is divisible by 2.

What is:

If a number is not even, then it is not divisible by 2.

400

Find the contrapostivie of the following conditional statement: 

If an number is even, then it is divisible by 2.

What is:

If a number is not divisible by 2, then it is not even.

500

Write a biconditional statement from the following conditional statement: 

If an number is even, then it is divisible by 2.

What is:

A number is even if and only if it is divisible by 2.

Parallel Lines Cut by a Transversal

100

Two parallel lines are cut by a transversal. Two alternate interior angles are given as 3x + 15 and 5x - 5. Find the measure of the angles.

What is 45

200

Two parallel lines are cut by a transversal. Two same-side interior angles are given as 2x + 10 and 4x - 40. Find the value of x.

What is 35

300

Two parallel lines are cut by a transversal. A corresponding angle pair is given as 7x - 16 and 3x + 24. Find the value of the sum of the two corresponding angles. 

What is 108

400

Two parallel lines are cut by a transversal. Two alternate exterior angles measure 6x+5 and 8x-19. Find the value of one of the angles. 

What is 77

500

Two angles are adjacent and on a line. One angle measures 3x+10 and 2x+20. Find the measure of the larger angle. 

What is 100

Triangles

100

Triangle ABC has angle measure of 22 and 75. Find the missing angle measure. 

What is 83

200

Triangle EFG has angle measures of 90, 7x-10, and 3x. Find the measure of the missing angle. 

What is x=10

300

A triangle has angles A,B,C with D being exterior of the triangle and adjacent to C. If A=75 and B=37, what is the measure of angle D? 

What is 112

400

An exterior angle of a triangle measures 6x - 10. The two remote interior angles measure 2x + 15 and 3x + 5. Find the measure of the exterior angle.

What is 170

500

The exterior angle of a triangle measures 11x - 12. Its two remote interior angles measure 4x + 3 and 5x + 1. Find the value of x and the measures of all three interior angles of the triangle.

What is: x=8, 35, 41, 104