Acc2 3A Geometry Figures Quiz
Authored by Eric Henderson
Mathematics
7th Grade
CCSS covered
Used 2+ times
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11 questions
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1.
FILL IN THE BLANKS QUESTION
15 mins • 1 pt
On a map, 1 inch represents 5 miles. If the distance between two towns on the map is 3 inches, what is the actual distance between the towns?
(a)
Answer explanation
The map’s scale of 1 inch : 5 miles means the real distance is 5 times the map distance.
We set up a proportion or simply multiply:
3 inches × 5 = 15 miles
In general, a scale drawing uses a constant ratio of drawing length to actual length.
For example, a scale of 1:100,000 means the real distance is 100,000 times the drawing length.
Here, the actual distance is 15 miles.
Tags
CCSS.6.RP.A.3B
2.
REORDER QUESTION
15 mins • 1 pt
Determine whether each statement is True or False about angle relationships:
1. Complementary angles can be supplementary.
2. Vertical angles must be supplementary.
3. Adjacent angles can be complementary.
False
Answer explanation
- Adjacent angles can be complementary if they share a common ray and sum to 90°.
- Vertical angles (opposite each other when two lines intersect) are always equal, not necessarily supplementary.
- Complementary angles sum to 90° by definition, so they cannot be supplementary because supplementary angles sum to 180°.
3.
FILL IN THE BLANKS QUESTION
15 mins • 1 pt
In the diagram, two parallel lines are cut by a transversal. Angle is given as . What is the measure of angle 4?
(a)
4.
FILL IN THE BLANKS QUESTION
15 mins • 1 pt
In the diagram, two parallel lines are cut by a transversal. Angle is given as . What is the measure of angle 4?
(a)
5.
FILL IN THE BLANKS QUESTION
15 mins • 1 pt
Solve the equation: 3(2x – 1) = 5x + 7
(a)
Answer explanation
Explanation:
We need to isolate the variable x by using inverse operations on both sides of the equation.
Step 1: Distribute 3 on the left side:
3(2x – 1) = 6x – 3
Step 2: Rewrite the equation:
6x – 3 = 5x + 7
Step 3: Subtract 5x from both sides:
6x – 5x – 3 = 7
x – 3 = 7
Step 4: Add 3 to both sides to isolate x:
x = 7 + 3
x = 10
Step 5: Check the solution by substituting x = 10 into the original equation:
Left side:
3(2(10) – 1) = 3(20 – 1) = 3(19) = 57
Right side:
5(10) + 7 = 50 + 7 = 57
Since both sides are equal, x = 10 is the correct solution.
Tags
CCSS.8.EE.C.7B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two angles are complementary and one angle measures , what is the measure of the other angle?
Tags
CCSS.7.G.B.5
7.
DROPDOWN QUESTION
15 mins • 1 pt
Triangle Inequality Theorem
**Explanation:** Imagine you are building a triangle with sticks. You have ** (a) sticks** of different lengths. To make a triangle, two of the sticks ** (b) ** to reach and connect the third stick. If two sticks are too short, they won’t touch, and you won’t have a triangle!
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