7ACC Study Guide Test 11/11-11/12

​Study guide for 7ACC

By Vanessa Silva

​TEKS: 8.6C, 8.7C, 8.7D, 8.8D

Directions

​Your best effort here= Effort on test

This study guide will walk you through how to do a problem, then a problem to see how much you retained. You are expected to both USE your notes and take notes. If you'd like EXTRA CREDIT, I will expect to see notes.

Happy studying!

Recall that the Pythagorean Theorem is a formula that applies only to right triangles.
a² + b²= c²
You can model it with Squares.

​

Pythagorean Theorem

Multiple Choice

What is the formula for Pythagorean Theorem?

• a^2+b^2=c^2

• b-a=c

• c^2+b^2=a^2

• a+b=c

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Multiple Choice

Fill in the blank: The _______ of the squares on the legs is equal to the area of the square on the hypotenuse

• difference
• square root
• sum
• product

Multiple Choice

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.

• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

• The difference of the areas of the two smaller squares is equal to the area of the large square.

• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Classifying a Right Triangle

Applying the Pythagorean Theorem

Recall that you can determine if a triangle is a right triangle using the Pythagorean Theorem's converse:
If a²+b²=c², then the triangle is a right triangle.
Step 1: Square the legs of the triangle (the two smallest lengths)
Step 2: Add the squares of the legs
Step 3: Square the hypotenuse (the longest length)
Step 4: Compare Step 2 and Step 3, if the same value then it is a right triangle, if not-- then it still could be a triangle but it isn't a right triangle.

Multiple Choice

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

• 9
• 40
• 41

Multiple Choice

Can side lengths 3, 4, and 5 form a right triangle?

• yes
• no

Multiple Choice

Do the sides 15, 30 and 34 make a right triangle?

• yes
• no

Recall that you can find the distance between two points on a coordinate plane by creating a right triangle and solving for c, the hypotenuse.​

​Finding distance

Multiple Choice

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16

Multiple Choice

Find the distance.

• 9.7
• 10.7
• 11.7
• 12.7

Multiple Choice

Find the distance between (-5, -8) and (-1, -16).

• 8.9
• 9.8
• 10.3
• 11

Multiple Choice

Solve for x.

• 38.9

• 40.2

• 45.6

• 54

Recall that parallel lines cut by a transversal form angles and those angles are in relationship to each other. The pairs are detailed in the image ​

Angle Pair Relationships

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

What is the relationship of the Angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• vertical 

Multiple Choice

Which pair of angles are alternate exterior angles?

• Angle 7 and Angle 4
• Angle 2 and Angle 6
• Angle 8 and Angle 1
• Angle 2 and Angle 8

Multiple Choice

What are supplementary angles?

• Angles that add up to 180°
• Angles that add up to 90°
• Angles that are equal to each other
• Angles that are opposite of each other when lines intersect

Multiple Choice

Name the angle relationship.

• Consecutive Interior
• Alternate Interior
• Corresponding
• Vertical Angles

Multiple Choice

Name a pair of same side exterior angles.

• angle 1 & angle 2
• angle 2 & angle 7
• angle 1 & angle 7
• angle 2 & angle 8

Multiple Choice

Find the measure of angle 1.

• 28^o
• 136^o
• 44^o
• 6^o

Multiple Choice

WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?

• X=12
• 8X - 17 + 5X +19 = 180
• 8X - 17 = 5X +19
• X= -12

Multiple Choice

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 

• 16X+180 = 90
• 12X - 29 = 4X +1

• 12X - 29 + 4X +1=90

• 12X - 29 + 4X +1=180

​

Exterior Angle Theorem

Recall that you can find an exterior angle using the theorem below.

Multiple Choice

Solve for x

• 70

• 23

• 120

• 130

Multiple Choice

Solve for x

• 105

• 78

• 110

• 25

Multiple Choice

Solve for x

• 85

• 78

• 95

• 110

Triangles with two corresponding angles that are equal are similar triangles.

Angle-Angle

Multiple Choice

Are the triangles similar?

• Yes
• No

Multiple Choice

Which triangles are similar to triangle A?

• B
• C
• Both
• None

Multiple Choice

Which triangles are similar to triangle A?

• B
• C
• Both
• None