Unit Test — Cumulative exam Answers

Point S lies between points R and T on .

Consider the diagram.

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0).

On a coordinate plane, a line goes through (0, negative 4) and (12, 6). A point is at (12, negative 2).

Given: a ∥ b and ∠1 ≅ ∠3Prove: e ∥ fWe know that angle 1 is congruent to angle 3 and that line a is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem.Which information is missing in the paragraph proof?

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).

Planes A and B are shown.

Triangles R S T and V U T are connected at point T.

Which is precisely defined using the undefined terms point and plane?

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.

Assume lines c and d are parallel and 2 measures 98°. Which statements are true? Select three options.

In the triangles, TR = GE and SR = FE.

Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines d and p, the uppercase right angle is angle 3 and the bottom left angle is angle 4.

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Point E is drawn on the graph so that line EF is parallel to line CD.

An isosceles right triangle has leg lengths of 4 centimeters. What is the length of the altitude drawn from the right angle to the hypotenuse?

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

In the diagram, the ratios of two pairs of corresponding sides are equal.

Two parallel lines are crossed by a transversal.