Geometry Mid Term

How many endpoints does a Ray have?

1

In the figure, how many pairs of congruent segments are there? (A pair is 2 segments).

1 Pair

The length of the entire line is 80. Solve for x. (Round to the nearest tenth).

12.9

The figure is the intersection of 3 line segments. Using the figure, use what you know about Linear Pairs and Vertical Angles to find m∠AOD

123º

How many axis of symmetry does the figure have? (The figure could be described as a rhombus)

2

The length of the entire line below is 3000 units. Find the length of segment AB.

2000

Find the length of the hypotenuse of the right triangle below. Round your answer to the nearest whole number.

28

Solve for x using the figure below. Then, enter the value of x.

3

The length of AC shown below is 12. Solve for the length of x.

5

In the trapezoid, segment AB is the mid-segment of the trapezoid. Find the length of the unknown base (the '?' labeled side) of the trapezoid.

5.04

Using the figure, find the measure of ∠CAD given that ∠BAD has a measure of 92º.

62º

A computer program runs the logical program below. Choose the values of A and B that will make the program display "true". Input A Input B If A² - B² > 0, then display {"True"} Else, display {"False"}

A = 5 B = 3

Find the area of a triangle with a base of 9 and a height of 15.

A = 67.5 units²

Below is an odd shape, which we'll name as "odd-shape". Which of the following definitions would correctly define the shape, "odd-shape"? (Choose any and all answers that apply, there can be more than one answer.) An "odd-shape" is a shape that is both concave and convex. An "odd-shape" is a shape with an odd number of sides and vertices. An "odd-shape" is a shape that contains at least one 90º angle. An "odd-shape" is a shape with at least two acute angles.

An "odd-shape" is a shape with an odd number of sides and vertices. An "odd-shape" is a shape that contains at least one 90º angle. An "odd shape" is a shape with at least two acute angles.

Which Triangle Congruence Theorem can be used to prove that the two triangles below are congruent?

Hypotenuse-Leg Theorem

In the image, BC || DE and ∠ADE ≈ ∠AED. Find ∠DEX and ∠ECD. What is the relationship of these two angles?

One is 114º more than the other.

Using the image below: Identify a line that is parallel to the black line. Identify a line that is perpendicular to the black line.

Red Green

In the figure, what is the relationship between ∠ACD and ∠DCB?

They are supplementary angles

In the triangle below, a 45º angle is labeled. A 45º angle can be categorized as what type of angle?

acute angle

Using the Triangle Inequality Theorem, which set of side lengths below could NOT be used to make a triangle?

{120cm, 60cm, 50cm}

Below are 3 statements that can be arranged into a logical chain. Choose the correct order of the logical chain of the 3 statements. A: If a number is divisible by 2, then the number is even. B: If a number is even, then the last digit is either 0, 2, 4, 6, or 8. C: If a number is divisible by 4, then the number is also divisible by 2.

C, A, B

According to the diagram, which segment is congruent to segment AB?

CD

The angle below can be classified according to it's measurement, what is the correct classification?

obtuse angle

The values represent the side lengths of a triangle. Determine what type of triangle is created by the side lengths. Side A: 8 Side B: 12 Side C: 15

obtuse triangle

Fill in the blank for the theorem below. "If three ________ of one triangle are congruent to three ________ of another triangle, then the triangles are congruent." (the same word can be used for both blanks)

sides

The centroid of a triangle is created by.......

the intersections of the medians

Solve for x using the triangle.

x = 2

The ∠ABC below is a right angle. Solve for x in terms of degrees.

x = 20º

The figure below is a rhombus with one diagonal drawn in. Find the length of the side labeled x.

x = 7

Solve for x using the trapezoid with a mid-segment of length 3 below.

x = ½