Midterm Review

100 100 100 100 100

200 200200200200

300 300 300 300 300

400 400 400 400 400

500 500 500 500 500

Conditional Statements/

Inductive Reasoning

Basic Geometry

Midpoint/Distance/

Properties of Lines

Bisectors and Intersecting

Lines

Triangles

Conditional Statements/ Inductive Reasoning– 100

Find the converse of the following statement.

“If you brought a book for this Geometry class, then it is a green book.”

Converse: If it is a green book, then you brought a book for this Geometry class.

Conditional Statements/ Inductive Reasoning– 200

Find the contrapositive of the following conditional statement:

“If I finish my homework, then I will watch TV.”

Contrapositive: If I did not watch TV, then I did not finish my homework.

Conditional Statements/ Inductive Reasoning– 300

Use inductive reasoning to figure out the 17th term.

2, 6, 10, 14, ….

2+4(17) = 70

Conditional Statements/ Inductive Reasoning– 400

Find the inverse of the following conditional statement.

“If Mrs. Gonzales is not working, then it is summertime.”

Inverse: If Mrs. Gonzales is working, then it is not

summertime.

Conditional Statements/ Inductive Reasoning– 1000 (DOUBLE JEOPARDY!)

Determine the truth values of the conditional statement, converse, inverse, and contrapositive of the following statement.

Conditional: If it is 11:15 am on a regular B day, then we are at lunch.

Conditional: TrueConverse: FalseInverse: False

Contrapositive: True

Basic Geometry - 100

True or false? A, B, and D are collinear.

False

Basic Geometry - 200

True or false? A lies on BC.

True

Basic Geometry - 300

_______ ________ are points that lie on the same plane.

Coplanar Points

Basic Geometry - 400

Lines k1 and k2 intersect at point E. Line m is perpendicular to lines k1 and k2 at point E. Which statement is always true?

a. Lines k1 and k2are perpendicular.b. Line m is parallel to the plane

determined by lines k1 and k2.c. Line m is perpendicular to the

plane determined by lines k1 and k2.d. Line m is coplanar with lines k1

and k2.

C

Basic Geometry - 500

AC = A’C’. Find the length of AC.

58

B A C

C’ D A’

3x – 1 in 7x + 9 in

4x + 8 in30 in

Midpoint/Distance/Properties of Lines– 100

Use the table to find the slope of the line.

7/3

x y-2 -71 04 77 14

10 21

Midpoint/Distance/Properties of Lines– 200

Find the midpoint of (8,0) and (0,4).

(4,2)

Midpoint/Distance/Properties of Lines– 300

Circle O has a diameter with endpoints E(8, 1) and F(1, 1). Find the distance, or length, of the diameter.

7

Midpoint/Distance/Properties of Lines– 800 DOUBLE JEOPARDY!

Find the midpoint of (2, 3b) and (2a, 5b-2).

(1+1a, 4b-1)

Midpoint/Distance/Properties of Lines– 500

What is the slope of the line perpendicular to

-3y-5=5x + 10

3/5

Bisectors and Intersecting Lines- 100

Find the measure of a. You must justify your answer.

60 degrees, vertical angles

Bisectors and Intersecting Lines- 200

What do you call the line that intersects two other lines?

A transversal.

Bisectors and Intersecting Lines- 300

Which two lines are parallel?

Lines d and e

Bisectors and Intersecting Lines- 400

If ray AD bisects BAC, what is the value of ∠x?

2

4x+37˚

3x+39˚A

B

D

C

Bisectors and Intersecting Lines- 500

Find the measures of x, y, and z. You MUST justify your answers for each.

y = 84 (vertical angles), x = 94 (SSI), z = 84 (AIA)

84˚x

y

z

Triangles- 100

Which side lengths do NOT create a triangle?

I) 4 in., 5 in., 9 in.II) 12cm., 12cm., 12.cm.III)1.5cm., 0.8cm., 3.2cm.

III) 1.5cm, 0.8cm, 3.2cm

Triangles- 200

If one of the angles of a right triangle has a measure of 40 degrees, what is the measure of the other acute angle?

50 degrees

Triangles- 300

Find the value of x. JUSTIFY YOUR REASONING.

Isosceles Triangle, x = 4

2x + 4 6x-12

Triangles- 400

How is ΔABC is congruent to ΔCDA ?

SASA

B C

D

Triangles- 500

List corresponding angles and corresponding sides if ΔABC is congruent to ΔSTR.

Angles: A & S, B & T, C & R∠ ∠ ∠ ∠ ∠ ∠Sides: AB&ST, BC&TR, AC&SR