Geometry Angles, Triangle Theorems, Ratios & Rates Practice

Lines that never intersect are called

Parallel lines.

A line that intersects two or more lines is called

A transversal line.

Supplementary angles are angles that sum to

180°.

Congruent angles are angles that have the same

Measure.

Corresponding angles are

Congruent.

Alternate interior angles are

Congruent.

Alternate exterior angles are

Congruent.

Part-to-part compares

Two quantities.

Part-to-whole compares

A quantity to the whole amount.

Unit rate is the rate for

One of something.

A proportion is two ratios

Set equal to each other.

Proportions can be used to find

Missing pieces of information.

The three interior angles of a triangle always sum to

180 degrees.

Complementary angles are angles that have a sum of

90°.

Supplementary angles are angles that have a sum of

180°.

The exterior angle of a triangle equals the sum of

The two remote interior angles.

If angle pairs are congruent, you set them

Equal to each other.

If angle pairs are supplementary, you add them together and set them equal to

180.

Vertical angles are directly across from each other and are

Congruent.

To find a unit rate, the ratio will simplify to have a denominator of

One.

The three interior angles of a triangle always add up to

180 degrees.

An exterior angle of a triangle is formed outside the triangle when one of the sides is

Extended.

The two angles inside and opposite to the exterior angle are called

Remote interior angles.

The exterior angle theorem states that the exterior angle equals the sum of the two remote interior

Angles.

What is the sum of complementary angles?

90 degrees

How do you write and solve equations involving complementary angles?

Add the angles together and set the expression equal to 90

Angles A and B are complementary. If angle A is 16°, what is the measure of angle B?

74°

Angles C and D are complementary. If angle C is 3x and angle D is 6x, what is the value of x?

x = 10

Find the value of x if 2x + 50 = 90.

x = 20

What is the sum of supplementary angles?

180 degrees

Angles E and F are supplementary. If angle E is 76°, what is the measure of angle F?

104°

What do the three interior angles of a triangle always sum up to?

180 degrees

Find the value of x in a triangle with interior angles measuring 80°, 50°, and x°.

x = 50

Find the value of x in a triangle with interior angles measuring 90°, 56°, and x°.

x = 34

What are remote interior angles?

The two angles that are inside, opposite, and not adjacent to the exterior angle

What does the Exterior Angle Theorem state?

Remote Interior + Remote Interior = Exterior

Find the value of x using the Exterior Angle Theorem if the remote interior angles are 46° and 67°.

x = 113

Find the value of x using the Exterior Angle Theorem if the remote interior angles are 82° and 33°.

x = 115

If angle A and angle B are complementary, and angle A measures $35^\circ$, what is the measure of angle B?

55°

Two supplementary angles measure $x$ and $115^\circ$. What is the value of $x$?

65

A triangle has interior angles measuring $50^\circ$, $60^\circ$, and $x^\circ$. What is the value of $x$?

70

Find the value of $x$ in a right triangle if the acute angles are $45^\circ$ and $x^\circ$.

45

An exterior angle of a triangle has remote interior angles measuring $40^\circ$ and $50^\circ$. What is the measure of the exterior angle?

90°

If the ratio of red marbles to blue marbles is 3 to 4, and there are 12 red marbles, how many blue marbles are there?

16

Find the unit rate if a runner jogs 15 miles in 3 hours.

5 miles per hour

If two parallel lines are cut by a transversal, are corresponding angles congruent or supplementary?

Congruent

Solve for $x$ if $5x - 10 = 40$.

x = 10

Angles M and N are complementary. If angle M is $2x$ and angle N is $40^\circ$, what is the value of $x$?

x = 25

Angles S and T are supplementary. If angle S is $3x$ and angle T is $90^\circ$, what is the value of $x$?

x = 30