Changing Dimensions of 3-D Figures — Cumulative exam Answers

Triangle A B C is shown. Angle A B C is a right angle. Angle B C A is 22 degrees and angle C A B is 68 degrees.

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

A regular hexagon is shown.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.

Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.Triangle 1: 3 in., 6 in., 7 in.Triangle 2: 3 in., 6 in., 8 in.Triangle 3: 3 in., 7 in., 8 in.Triangle 4: 6 in., 7 in., 8 in.

Circle O has a circumference of approximately 28.3 cm.

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.What are the two different angle measures of the parallelogram-shaped tile?

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem.Which mathematical statement is missing?

A circular table top has a radius of 24 inches.What is the area of the table top, to the nearest square inch? Use 3.14 for .

Complete the steps, which describe how to find the area of the shaded portion of the circle.

Rhombus LMNO is shown with its diagonals.

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

An oblique cone has a radius of 5 units and a height of 9 units.

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm.

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

In the diagram, .

Triangle QRS is to be dilated using the rule .

Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons1.ABCD is a square1.given2.∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles2.definition of a square3.∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDA3.right angles are congruent4.AB ≅ BC ≅ CD ≅ DA4.?5.△BAD ≅ △ABC5.SAS6.BD ≅ AC6.CPCTCWhat is the missing reason in the proof?

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

Two circles are concentric if they have the same center.