Geometry Solutions

Step-by-step solutions with Learning Insights, Quick Tips, and Common Mistakes.

Match each three-dimensional figure with its net.

Answer: Cube ↔ net of 6 equal squares; Rectangular Prism ↔ net of 6

Oct 12, 2026

Which expression can be used to find the surface area of the triangular prism? 2(1/2 * 3 * 4) + 4 * 2 + 3 * 2 + 5 * 2 What is the surface area of the triangular prism? S.A. = ? ft^2

Answer: $S.A. = 36 \text{ ft}^2$

Oct 12, 2026

Rectangle ABCD has sides AB = 32 yd and BC = 26 yd. Find CD and AD.

Answer: $CD = 32 \text{ yd}$ and $AD = 26 \text{ yd}$

Oct 7, 2026

Rectangle EFGH with FG = 34 yd and HG = 52 yd. Find EH and EF.

Answer: $EH = 34 \text{ yd}$ and $EF = 52 \text{ yd}$

Oct 7, 2026

4 Rectangle ABCD with diagonals intersecting at O. OA = 22 yd, OD = ___ angle BAD = ___, angle ABC = ___

Answer: $OD = 22 \text{ yd}$, $\angle BAD = 90°$, $\angle ABC = 90°$

Oct 7, 2026

Given m || n, find the value of x and y. The angles formed by a transversal cutting parallel lines m and n are: At line n: (y+16)°, (3x-15)°, and (2x+7)°

Answer: $x = 37.6$ and $y = 66.2$

Sep 29, 2026

Jake is looking to buy some fence for his square garden. He will need enough fencing for the radish, carrots, lettuce, and his front gate. Place answers in the form of a radical. The garden has: - 3 carrot sections each = 27 ft^2 - 4 radish sections each = 12 ft^2 - 1 lettuce section = 48 ft^2 - 1 front gate section 1. How much fence will he need to make a perimeter around the carrot section?

Answer: $36\sqrt{3}$ ft

Sep 28, 2026

In the following diagram, draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C', and the image of D as D'.

Answer: Add the horizontal and vertical components of vector v to ea

Sep 15, 2026

Four translations are shown. Translation 1: P to Q (Q is to the right and up from P) Translation 2: P to Q (Q is to the right and slightly down from P) Translation 3: Q to P (P is to the right and down from Q) Translation 4: P to Q (Q is to the right and down from P) Match each directed line segment with the translation from polygon P to polygon Q by that directed line segment. A: segment u (points right, long, horizontal) B: segment w (points right and down, medium) C: segment a (points left and down, short) D: segment v (points right, long, slightly angled) 1) Translation 1 2) Translation 2 3) Translation 3 4) Translation 4

Answer: A (segment u, horizontal right) → Translation 1 | B (segment

Sep 15, 2026

Ellis is painting wooden fenceposts before putting them in his yard. They are each 7 feet tall and have a diameter of 1 foot. There are 11 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 11 fenceposts? Use 3.14 for π, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit.

Answer: Ellis needs $259.05 \text{ ft}^2$ of paint to cover all surf

Aug 25, 2026

https://copilot.microsoft.com/th/id/BCO.f08aa4ac-0da4-4931-81ab-a04d31c5b116.png h=0.22 r=0.15 angle in radians to two decimal places Then find the ctross sectional area inside the pipe above the water rounding final answer to 2 decimal places. show as much work as posssible

Answer: Central angle of dry segment: **2.16 radians**. Cross-sectio

Aug 7, 2026

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