Illustrative Mathematics - Geometry - Unit 7 - Lesson 3 - Formative Library | Library

Line BD is tangent to a circle with diameter AB. 
Explain why the measure of angle BCA must equal the measure of angle ABD.

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G.CO.1

G.CO.12

Line AC is perpendicular to the circle centered at O with radius 1 unit.
 The length of AC is 1.5 units. Find the length of segment AB.

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Line PD is tangent to a circle of radius 1 inch centered at O. The length of PD is 1.2 inches. The length of AB is 1.7 inches.
 Which point on the circle is closest to point P?

Point A.

Point B.

Point C.

Point D.

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The arc from A to B not passing through C measures 50 degrees.
 Select all the true statements.

Angle BCA measures 25 degrees.

The arc from B to C not passing through A measures 180 degrees.

Angles CBO and CAO are congruent.

Angle BCA measures 50 degrees.

Angle BOA measures 50 degrees.

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Chords AC and DB intersect at point E.
 List 3 pairs of angles that must be congruent.

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The image shows a circle with diameters AC and BD.
 Prove that chords BC and AD (not drawn) are congruent.

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The line represented by y+3=-3(x+6) is transformed by the rule (x,y)\rightarrow(-x,-y). What is the slope of the image?

3

\frac{1}{3}

-\frac{1}{3}

-3

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This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 3. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/3/index.html ; accessed 29/July/2021.

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