Solving Proportions in Geometry

Solving Proportions in Geometry

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve a geometry problem involving a mirror and an oak tree. The instructor begins by setting up the problem and drawing a diagram. The concept of similar triangles is introduced, and the necessary measurements are converted to consistent units. The instructor then sets up a proportion using the properties of similar triangles and solves it using cross-multiplication to find the height of the tree. The importance of drawing a diagram and understanding similar triangles is emphasized throughout the tutorial.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the problem involving the oak tree and the mirror?

Calculate the height of the tree.

Measure the distance from the tree to the mirror.

Draw a picture of the setup.

Find the angle of reflection.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How far is the mirror placed from the base of the oak tree?

60 feet

40 feet

50 feet

30 feet

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the distance between Benjamin and the mirror?

10 feet

5 feet

15 feet

20 feet

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How tall is Benjamin in feet and inches?

5 feet 6 inches

5 feet 8 inches

6 feet 0 inches

5 feet 10 inches

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is used to establish the similarity of the triangles?

SSS Similarity Theorem

Pythagorean Theorem

AA Similarity Theorem

SAS Similarity Theorem

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to convert all measurements to the same unit?

To simplify the drawing

To ensure accurate calculations

To match the units of the mirror

To make the problem easier to understand

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal equivalent of 8 inches when converted to feet?

0.6

0.75

0.5

0.66

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