LESSON BASED: PERFORMANCE TASK G9

A

1

Which condition guarantees that two lines cut by a transversal are parallel?

A. Same-side interior angles are congruent.

B. Corresponding angles are congruent. 

C. Alternate interior angles are supplementary.

D. Any pair of angles is equal.

B. Corresponding angles are congruent.

2

Which postulate or theorem states: "If corresponding angles are congruent, then the two lines cut by a transversal are parallel"?

B. CACP Postulate

3

Relation 

X = {(2, 5), (3, 5), (4, -2)} is a function. What is the best reason?

A. The output 5 appears twice.

B. All inputs are unique and each has exactly one output. 

C. The range has negative values.

D. It has three ordered pairs.

B. All inputs are unique and each has exactly one output.

4

In y= mx + b what is the look of the graph if m>0

Rises from left to right

B

1

Given: "If a shape is a triangle, then it has exactly 3 sides."

 What is its contrapositive?

If a shape does not have exactly 3 sides, then it is not a triangle.

2

Given two lines cut by a transversal, you observe that alternate interior angles are congruent. What valid conclusion can be drawn?

A. The lines are perpendicular to each other.

B. The lines are parallel. 

C. The lines intersect but are not perpendicular.

D. No conclusion can be drawn without corresponding angles.

B. The lines are parallel.

3

In y= mx+ b how does the graph lay in a cartesian plane if m<0?

The line falls from left to right.

4

Show the graph of the given coordinate ( 0,4 ) and the slope m=3

Boardwork

C

1

Which scenario is NOT sufficient to prove that two lines are parallel?

A. Corresponding angles are congruent.

B. Alternate interior angles are congruent.

C. Same-side interior angles are complementary. 

D. Same-side interior angles are supplementary.

C. Same-side interior angles are complementary

2

TRUE OR FALSE

All relations are functions, but not all functions are relations.

FALSE.

B. All functions are relations, but not all relations are functions.

3

y= 3x+4, find the first coordinate

 (x, y) and the rise over run

(0, 4) and 3/1

4

TRUE OR FALSE

Same-side interior angles are complementary.

FALSE.

TRUE OR FALSE

Same-side interior angles are supplementary.

D

1

You are given two lines cut by a transversal. One pair of alternate interior angles measures 2x + 15 and 75 - x. What value of x would guarantee the lines are parallel?

A. 15

B. 20 

C. 25

D. 30

B. 20

2

Given the relation:

 R = {(1, 3), (2, 5), (1, -2), (4, 5)}. Why is this NOT a function?

The input 1 is paired with two different outputs.

The input 1 is paired with two different outputs.

3

Solve and graph. y=2x+2

Boardwork

4

If two angles are supplementary, what is the sum of their measures?

180^•

E

1

Given: Set 

A = {(2, 5), (3, 4), (4, 3), (5, 2)}. What type of relation is this?

One-to-one

2

Given the following. Which is not a linear function? State your reason.

a) f(x) = -7x

b) y = 8 - x

c) y = x² + 3

c) y=x² + 3

It has a maximum degree of 2 which violates the rule of linear function of having a maxmum degree of 1

3

The measure of Alternate Exterior angles are always ______.

Congruent/Equal

4

Assuming two angles are corresponding angles , if the measure of one angle is equal to 45^o , what is the measure of the other angle?

45^o